The figure not drawn to scale. The figure is made up of a square and a rectangle. It has an overall perimeter of 90 cm. The breadth of the rectangle is ³₄ as long as the length of the square. Given that the length of the rectangle is 17 cm, find the area of the whole figure.
Breadth of rectangle = 3 u
Length of square = 4 u
Length of rectangle = 17 

2 x (4 u + 3 u + 17) = 90
2 x (7 u + 17) = 90
14 u + 34 = 90
14 u = 90 - 34 = 56
1 u = 56 ÷ 14 = 4 

Breadth of the rectangle
= 3 u
= 3 x 4
= 12 

Length of the square
= 4 u
= 4 x 4
= 16 

Area of the rectangle
= 17 x 12
= 204 

Area of the square
= 16 x 16
= 256

Area of the figure
= 204 + 256
= 460 cm²

Answer(s): 460 cm²