Complete the table. Trapezium Height First base Second base Area 3 m 5 m 7 m _____ _____ 6 cm 5 cm 55 cm 2 6 dm 12 dm _____ 45 dm 2 7 mm _____ 5 mm 52 . 5 mm 2

From the given, Trapezium Height First base Second base Area 3 m 5 m 7 m _____ _____ 6 cm 5 cm 55 cm 2 6 dm 12 dm _____ 45 dm 2 7 mm _____ 5 mm 52 . 5 mm 2 We know that, Area of trapezium = 1 2 a + b × h (i) Height = 3 m , First base, a = 5 m , Second base, b = 7 m , to find area. Area of trapezium = 1 2 a + b × h = 1 2 5 m + 7 m × 3 m = 1 2 12 m × 3 m = 6 m × 3 m = 18 m 2 Area of trapezium = 18 m 2 (ii) Area = 55 cm 2 , First base, a = 6 cm , Second base b = 5 cm , to find height. Area of trapezium = 1 2 a + b × h 55 = 1 2 × 6 cm + 5 cm × h 55 cm 2 = 11 cm 2 × h ⇒ h = 55 cm 2 × 2 11 cm = 5 cm × 2 = 10 cm So, Height = 10 cm (iii) Area = 45 dm 2 , Height = 6 dm , First base = 12 dm , to find second base. Area of trapezium = 1 2 a + b × h 45 dm 2 = 1 2 × 12 dm + b × 6 dm 45 dm 2 × 2 6 dm = 12 dm + b 15 dm = 12 dm + b 15 dm - 12 dm = b ⇒ b = 3 dm So, second base b = 3 dm (iv) Area = 52 . 5 mm 2 , Height = 7 mm , Second base = 5 mm , to find first base. Area of trapezium = 1 2 a + b × h 52 . 5 mm 2 = 1 2 a + 5 mm × 7 mm 52 . 5 mm 2 × 2 7 mm = a + 5 mm 7 . 5 mm × 2 = a + 5 mm 15 mm = a + 5 mm 15 mm - 5 mm = a ⇒ a = 10 mm So, first base = 10 mm Trapezium Height First base Second base Area 3 m 5 m 7 m 18 m 2 10 cm 6 cm 5 cm 55 cm 2 6 dm 12 dm 3 dm 45 dm 2 7 mm 10 mm 5 mm 52 . 5 mm 2 Hence, the required answer is as shown above.

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Find the area of the following field (in $m^{2}$ ). All dimensions are in meters.

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Important Questions on Perimeter and Area of Plane Figure

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IMPORTANT

'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>HOTS>Q 1

There is a circular pond and a footpath runs along its boundary. A person walks around it exactly once, keeping close to the edge. If his step is $66 cm$ long, and he takes exactly $400$ steps to go around the pond, find the diameter of the pond.

If the required answer is $k cm$ , then write the value of $k$ in answer box.

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'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>HOTS>Q 2

Saswati wants to purchase a trapezium-shaped plot. The plot is situated between a road and a canal. Its side along the canal is parallel to and twice the side along the road. If the area of the plot is $12000 m^{2}$ and the perpendicular distance between the two parallel sides is $125 m$ , find the length of the side along the canal.

If the length of the side along the canal is $k m$ , then write the value of $k$ in answer box.

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'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>Worksheet>Q 1

Complete the table.

Trapezium
Height	First base	Second base	Area
$3 m$	$5 m$	$7 m$	_____
_____	$6 cm$	$5 cm$	$55 {cm}^{2}$
$6 dm$	$12 dm$	_____	$45 {dm}^{2}$
$7 mm$	_____	$5 mm$	$52.5 {mm}^{2}$

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'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>Worksheet>Q 2

The area of a trapezium is

91 {dm}^{2}

and its height is

7 dm

. If one of its parallel sides is longer than the other by

8 cm

, find the two parallel sides.

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'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>Worksheet>Q 3

A diagonal of a quadrilateral is

12 cm

long. The perpendiculars to the diagonal from opposite vertices are of length

7 cm

and

9 cm

, respectively. Find the area of the quadrilateral, if area of the quadrilateral is

k {cm}^{2}

, then write the value of

k

in answer box.

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'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>Worksheet>Q 4

Find the area of the following figure considering the measurement is in ${cm}^{2}$ .

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'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>Worksheet>Q 4

Find the area of the following figure considering the measurement is in ${cm}^{2}$ .

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IMPORTANT

'I Did It' Mathematics>Chapter 11 - Perimeter and Area of Plane Figure>Worksheet>Q 4

Find the area of the following figure considering the measurement is in ${cm}^{2}$ .

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Find the area of the following field (in m2). All dimensions are in meters.

Important Questions on Perimeter and Area of Plane Figure

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Find the area of the following field (in $m^{2}$ ). All dimensions are in meters.