Oliver had a piece of wire 270 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 2.
- 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 = 2 u
Perimeter of the rectangle
= 2 x 3 u + 2 x 2 u
= 6 u + 4 u
= 10 u
10 u = 270
1 u = 270 ÷ 10 = 27
Length of the rectangle
= 3 u
= 3 x 27
= 81 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 27
= 54 cm
Area of the rectangle
= 81 x 54
= 4374 cm
2 Answer(s): (a) 81 cm; (b) 4374 cm
2