the length of the rectangle exceeds its breadthis 8m.if the perimeter of the rectangle is 56 fi d its lenght and breadth
Answers
Given data : The length of the rectangle exceeds its breadth by 8 m. If the perimeter of the rectangle is 56 m find its length and breadth.
Solution :
Here, Length = L and Breadth = B
According to given
→ L = B + 8 ......( 1 )
→ Perimeter of rectangle = 2 ( L + B )
→ 56 = 2 ( B + 8 + B )
→ 56 = 2 ( 8 + 2B )
→ 56 = 16 + 4B
→ 56 - 16 = 4B
→ 40 = 4B i.e.
→ B = 40/4
→ B = 10 cm
from eq. ( 1 )
→ L = B + 8
→ L = 10 + 8
→ L = 18 cm
Answer : Hence, length and breadth of rectangle is 18 cm and 10 cm respectively.
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