perimeter of a rectangle is 96.And area of the rectangle is 567 sq. cm. Find the sides?
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Answer:
Step-by-step explanation:
The area of a rectangle is 567 sq. cm and its perimeter is 96cm.
let l cm be the length and b cm be the breadth.
Area of rectangle = Length × Breadth
567 sq. cm = l×b
l = 567/b
Perimeter of rectangle =2(length+breadth)
96 = 2(l+b)
from eq. (1)
96 = 2(567/b + b)
48 = (567/b + b)
48 = (567 + b2)/b
48b = (567 + b2)
b2 - 48b + 567 = 0
b2 - 27b - 21b + 567 = 0
b(b - 27) - 21(b - 27) = 0
(b - 27) (b - 21) = 0
b = 27cm then l = 21cm
Hence,
Length is 21cm and Breadth is 27cm.
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