Eric had a piece of wire 252 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 4.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 3 u
Breadth of the rectangle = 4 u
Perimeter of the rectangle
= 2 x 3 u + 2 x 4 u
= 6 u + 8 u
= 14 u
14 u = 252
1 u = 252 ÷ 14 = 18
Length of the rectangle
= 3 u
= 3 x 18
= 54 cm
(b)
Breadth of the rectangle
= 4 u
= 4 x 18
= 72 cm
Area of the rectangle
= 54 x 72
= 3888 cm
2 Answer(s): (a) 54 cm; (b) 3888 cm
2