Ryan had a piece of wire 112 cm long. He used it to form a rectangle with its length and breadth in the ratio 4 : 3.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 4 u
Breadth of the rectangle = 3 u
Perimeter of the rectangle
= 2 x 4 u + 2 x 3 u
= 8 u + 6 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
Length of the rectangle
= 4 u
= 4 x 8
= 32 cm
(b)
Breadth of the rectangle
= 3 u
= 3 x 8
= 24 cm
Area of the rectangle
= 32 x 24
= 768 cm
2 Answer(s): (a) 32 cm; (b) 768 cm
2