Question

Two straight lines are drawn onto a square to create four rectangles.

Work out the area of the rectangle marked A.
2 cm
3 cm
14 cm²
Q Zoom
A
Not drawn accurately

Answer 1

The area of the rectangle marked A is 56 cm²

We can find the length of A thus :

• Area of rectangle = length × width

14 = 2 × length

length = 14/2

length = 7 cm

Dimension of entire square = 7 + 3 = 10 cm

The dimension of the square is 10 cm by 10 cm.

Width of rectangle A :

• 10 - 2 = 8cm

Therefore , the area of rectangle A is :

• length × width

Area of A = 8cm × 7cm = 56 cm²

Therefore, the area of rectangle A is 56 cm²