Ethan had a piece of wire 120 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 = 120
1 u = 120 ÷ 20 = 6
Length of the rectangle
= 7 u
= 7 x 6
= 42 cm
(b)
Breadth of the rectangle
= 3 u
= 3 x 6
= 18 cm
Area of the rectangle
= 42 x 18
= 756 cm
2 Answer(s): (a) 42 cm; (b) 756 cm
2