M L Aggarwal Solutions for Exercise 2: EXERCISE 16.2

The perimeter of a rectangular cardboard is $96 \mathrm{cm}$, if its breadth is $18 \mathrm{cm}$, find the length and the area of the cardboard.

The diagram given below is a trapezium. Find the length of $BC$ and the area of the trapezium. Assume $AB = 5 \mathrm{cm} , AD = 4 \mathrm{cm}, CD = 8 \mathrm{cm}.$

The diagram given above is a trapezium. Find $AB$ and area of trapezium $ABCD$.

The cross section of a canal is shown in figure given below. If the canal is $8 m$ wide at the top and $6 m$ wide at the bottom and the area of the cross section is $16.8 sq.$m, calculate its depth.

Find the area enclosed by the figure(i) given below , where$ABC$is an equilateral triangle and $DEFG$ is an isosceles trapezium.

All measurements are in centimetres.

Find the area enclosed by the figure given below. All measurements are in centimetres.

In the figure given below, from a $24 cm \times 24 cm$ piece of cardboard, a block in the shape of the letter M is cut off. Find the area of the cardboard left over, all measurements are in centimetres.

 

Calculate the area of the pentagon $ABCDE$ shown in figure below, given that $AX = BX = 6 \mathrm{cm}, EY = CY = 4 \mathrm{cm}, DE = DC = 5 \mathrm{cm} DX = 9 \mathrm{cm}$and DX is perpendicular to EC and AB .