Question

7. All the shapes inside the rectangle ABCD are squares. Find the area of the rectangle ABCD. Lengths are in centimetres.​

Answer 1

Given:

✰ All the shapes inside the rectangle ABCD are squares.

✰ The lengths are in centimetres.

To find:

✠ Find the area of the rectangle ABCD.

Solution:

Refer the attachment to clearly understand the question! To find the area of the rectangle ABCD, we will use formula to calculate area of rectangle and for it we must have length and breadth of rectangle.

• To find length BC, we will add length of both are squares at the bottom i.e, BF and CF. Length of BF is already given and to find length of FC we need to add width of lower left hand side square and small square above it, then we will get CG which is equal to length of FC as it is square.
• To find breadth AB, we will add breadth of both larger squares on left hand sides. The length of BF is given which is equal to length of AE. So we will add both AE and BE to get measure of breadth AB.

Steps:

• All the shapes inside the rectangle ABCD are squares.

➛ Length BC = BE + EC

➛ Length BC = 8 + 10

➛ Length BC = 18 cm

➛ Breadth AB = AE + EB

➛ Breadth AB = 8 + 8

➛ Breadth AB = 16 cm

✭ Area of rectangle = length × breadth ✭

➤ Area of rectangle = l × b

➤ Area of rectangle = 18 × 16

➤ Area of rectangle = 288 cm²

∴ The area of the rectangle ABCD = 288 cm²