Howard had a piece of wire 144 cm long. He used it to form a rectangle with its length and breadth in the ratio 5 : 4.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 5 u
Breadth of the rectangle = 4 u
Perimeter of the rectangle
= 2 x 5 u + 2 x 4 u
= 10 u + 8 u
= 18 u
18 u = 144
1 u = 144 ÷ 18 = 8
Length of the rectangle
= 5 u
= 5 x 8
= 40 cm
(b)
Breadth of the rectangle
= 4 u
= 4 x 8
= 32 cm
Area of the rectangle
= 40 x 32
= 1280 cm
2 Answer(s): (a) 40 cm; (b) 1280 cm
2