Ivan had a piece of wire 160 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 = 160
1 u = 160 ÷ 20 = 8
Length of the rectangle
= 7 u
= 7 x 8
= 56 cm
(b)
Breadth of the rectangle
= 3 u
= 3 x 8
= 24 cm
Area of the rectangle
= 56 x 24
= 1344 cm
2 Answer(s): (a) 56 cm; (b) 1344 cm
2