Gabriel had a piece of wire 126 cm long. He used it to form a rectangle with its length and breadth in the ratio 5 : 4.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 5 u
Breadth of the rectangle = 4 u
Perimeter of the rectangle
= 2 x 5 u + 2 x 4 u
= 10 u + 8 u
= 18 u
18 u = 126
1 u = 126 ÷ 18 = 7
Length of the rectangle
= 5 u
= 5 x 7
= 35 cm
(b)
Breadth of the rectangle
= 4 u
= 4 x 7
= 28 cm
Area of the rectangle
= 35 x 28
= 980 cm
2 Answer(s): (a) 35 cm; (b) 980 cm
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