Eric had a piece of wire 180 cm long. He used it to form a rectangle with its length and breadth in the ratio 7 : 3.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 7 u
Breadth of the rectangle = 3 u
Perimeter of the rectangle
= 2 x 7 u + 2 x 3 u
= 14 u + 6 u
= 20 u
20 u = 180
1 u = 180 ÷ 20 = 9
Length of the rectangle
= 7 u
= 7 x 9
= 63 cm
(b)
Breadth of the rectangle
= 3 u
= 3 x 9
= 27 cm
Area of the rectangle
= 63 x 27
= 1701 cm
2 Answer(s): (a) 63 cm; (b) 1701 cm
2