The perimeter of a rectangle is 14 8 15 cm . If its length is 4 2 3 cm , find its area.

Given length of a rectangle l = 4 2 3 cm Let the breadth of the rectangle is b cm . We know that perimeter of the rectangle is 2 l + b Given perimeter of the rectangle is 14 8 15 cm . ⇒ 2 l + b = 14 8 15 ⇒ 2 4 2 3 + b = 14 8 15 ⇒ 2 4 × 3 + 2 3 + b = 14 × 15 + 8 15 ⇒ 2 12 + 2 3 + b = 210 + 8 15 ⇒ 2 14 3 + b = 218 15 ⇒ 14 3 + b = 218 5 × 1 2 ⇒ b = 218 30 - 14 3 ⇒ b = 218 - 140 30 ⇒ b = 78 30 ⇒ b = 13 5 = 2 3 5 cm We know that area of the rectangle is l × b . ⇒ 4 2 3 × 13 5 ⇒ 4 × 3 + 2 3 × 13 5 ⇒ 14 3 × 13 5 ⇒ 182 15 cm 2 = 12 2 15 cm 2 Hence, the area of the rectangle is 12 2 15 cm 2

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A man sold a square field of side $35 m$ and a rectangular field of length $51 m$ and breadth $25 m$ . He then purchased a square field of equal area. Find the side of the square field and the cost of fencing it at $₹ 1.50 per m$ .

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Important Questions on Mensuration

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Mathematics>Geometry>Mensuration>Perimeter and Area

From a rectangular piece of metal sheet of length and breadth

1 \cdot 60 m and 80 cm

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3

circular sheets of

20 cm

radius are cut out. If the area of metal left is

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, then what is the value of

A

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Mathematics>Geometry>Mensuration>Perimeter and Area

The perimeter of a rectangle ABCD, with length

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Mathematics>Geometry>Mensuration>Perimeter and Area

A rectangular plot is

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long and

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broad. A path of uniform width of

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₨ 15

per square meter and also the cost of covering the remaining part of the plot with grass at

₨ 9

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Mathematics>Geometry>Mensuration>Perimeter and Area

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Mathematics>Geometry>Mensuration>Perimeter and Area

The area of a rectangle is

180 {cm}^{2}

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5 : 4

, then what is the length (in

cm

) of the diagonal of the rectangle?

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Mathematics>Geometry>Mensuration>Perimeter and Area

Find the area of the blue shaded portion for the given figure below.

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Mathematics>Geometry>Mensuration>Perimeter and Area

The perimeter of a rectangle is

14 \frac{8}{15} cm

. If its length is

4 \frac{2}{3} cm

, find its area.

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Mathematics>Geometry>Mensuration>Perimeter and Area

If the adjacent side of a rectangle whose perimeter is

60 cm

are in the ratio

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, then what will be the area of the rectangle?

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Mathematics>Geometry>Mensuration>Perimeter and Area

A hall with dimensions

25 metres

long and

15 metres

broad is surrounded by a path of uniform width of

3.5 metres

. The cost of flooring the path, at

₹ 25.50

per square

metre

is:

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Mathematics>Geometry>Mensuration>Perimeter and Area

The perimeter of a rectangle is

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. If its length is twice its breadth, then its area is:

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Mathematics>Geometry>Mensuration>Perimeter and Area

Draw a rectangle of area $12$ square centimetres. Draw a square having the same area.

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Mathematics>Geometry>Mensuration>Perimeter and Area

The length of rectangle is $80 %$ of diagonal of square of area $1225 m^{2}$ , then find area of rectangle, if it's perimeter is $94 \sqrt{2} m$ .

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Mathematics>Geometry>Mensuration>Perimeter and Area

If length of a rectangle is increased to its three times and breadth is decreased to its half, then find the ratio of the area of given rectangle to the area of new rectangle.

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Mathematics>Geometry>Mensuration>Perimeter and Area

Area and perimeter of a rectangular field are

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. and

180 m

respectively. What is the length and breadth?

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Mathematics>Geometry>Mensuration>Perimeter and Area

The length of a rectangle is

10 cm

more than the side of a square and its breath is

8 cm

less than the side of a square. If the areas if both the rectangle and square are equal, then what will perimeter of the rectangle?

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Mathematics>Geometry>Mensuration>Perimeter and Area

One side of a rectangle field is

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and its diagonal is

89 m

. What is the area of the field?

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Mathematics>Geometry>Mensuration>Perimeter and Area

In a rectangle park having dimensions

60 m \times 40 m

, two circular flower beds with radius

7 m

are developed. What is the area of the remaining portion of the park?

(Use π = \frac{22}{7})

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Mathematics>Geometry>Mensuration>Perimeter and Area

Find the area of rectangle, whose length is

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and breadth is

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Mathematics>Geometry>Mensuration>Perimeter and Area

A paper in the form of a rectangle is cut diagonally to form two triangles. If the diagonal measures

4 \sqrt{5} cm

and the length is twice the breadth, the area of the rectangle is_____.

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Mathematics>Geometry>Mensuration>Perimeter and Area

A rectangular park

60 m

long and

40 m

wide has two pathways of equal width running in the longitudinal and transverse direction and crossing each other at right angles in the middle of the park. The rest of the park is used as lawn. If the area of the lawn is

2109 sq . m

, then what is the width of the pathway?

A man sold a square field of side 35 m and a rectangular field of length 51 m and breadth 25 m. He then purchased a square field of equal area. Find the side of the square field and the cost of fencing it at ₹1.50 per m.

Important Questions on Mensuration

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A man sold a square field of side $35 m$ and a rectangular field of length $51 m$ and breadth $25 m$ . He then purchased a square field of equal area. Find the side of the square field and the cost of fencing it at $₹ 1.50 per m$ .