HARD
Earn 100

To tile the floor of a room of dimensions 8 m ×4·8 m, rhombus-shaped tiles of diagonals 16 cm and 12 cm costing 24 and square-shaped tiles of diagonal 16 cm costing 28 are available. Which type of tiles should be chosen to minimize the cost? How much can be saved by choosing the right type over the other?

Important Questions on Mensuration

EASY

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What is the area of this trapezoidal garden (All measurements are in cm)? 

1. 60 sq.cm
2. 180 sq.cm
3. 210 sq.cm 
4. 240 sq.cm

EASY
If the sides of triangle are 4,5 and 6 cm . Then the area (in sq cm) of triangle is
EASY
A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5,6,8,9,12 in some order. The ratio of the area of the pentagon to the area of the rectangle is-
HARD
What will be the area of triangle whose vertices are (1, 2), (-4, -3) and (4, 1)?
MEDIUM
The area of a rhombus is 300 cm2. If the length of one of the diagonals of the rhombus is 30 cm, then what is the length (in cm) of the second diagonal?
MEDIUM

The three sides of a triangle are 15 cm, 36 cm, and 39 cm long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ cm2  

MEDIUM
Consider four triangles having sides 5,12,9, 5,12,11,5,12,13 and 5,12,15 . Among these the triangle having maximum area has sides
MEDIUM
The respective ratio between the length and breadth of a rectangle is 8:5 and its perimeter is 208 cm. If the side of the square is 40% less than the breadth of the rectangle, what is the perimeter of the square?
EASY
If the length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm2) of the rhombus?
MEDIUM
The perimeter of a rhombus is 148 cm, and one of its diagonals is 24 cm. The area (in cm2) of the rhombus is:
MEDIUM
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?
 
EASY
The side of a rhombus is 5 cm and one of its diagonal is 8 cm. What is the area of the rhombus?
EASY
What is the area (in cm2) of an equilateral triangle whose side is 12 cm?
MEDIUM
The length of each equal side of an isosceles triangle is 10 cm and the included angle between those two sides is 45°.Find the area of the triangle.
HARD

The length of rectangle is 80% of diagonal of square of area 1225 m2, then find area of rectangle, if it's perimeter is 942 m.

MEDIUM
Among all the parallelograms whose diagonals are 10 and 4, the one having maximum area has its perimeter lying in the interval
MEDIUM

In ABC, AD is the median and G is a point on AD such that AG:GD=2:1. Then area (BDG):area (ABC) is equal to:

MEDIUM
The area of a rhombus is 96 sq.cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus?
EASY
If the lengths of the diagonals of a rhombus are 24 cm and 18 cm, then what is the area of the rhombus?
EASY
The length of the diagonals of a rhombus are 16 cm and 12 cm. Its area is: