If a rectangle has the ratio of its length to breadth is 5:3 and perimeter is 64 cm , find the area .
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If a rectangle has the ratio of its length to breadth is 5:3 and perimeter is 64 cm , find the area .
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Answer:
let ratio be x
lenth=5x
breadth=3x
perimeter=2(l+b)
perimeter=2(5x+3x)
=2*8x
16x=perimeter=64
x=64/16
x=4
put value of x
length=20cm
breadth=12cm
area=l*b
=20*12
=240cm
Step-by-step explanation:
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Given : -
If a rectangle has the ratio of its length to breadth is 5:3 and perimeter is 64 cm.
To Find : -
Area of rectangle.
Formula : -
Perimeter of Rectangle = 2(l + b)
Step-by-step Explanation : -
Length = 5y
Breadth = 3y
Perimeter = 64cm
So : -
64 = 2 × (5y + 3y)
64 = 2 × 8y
32 = 8y
y = 4
Therefore , Value of y is 4 ..
Hence , the length of the rectangle is 20cm and the breadth of the rectangle is 12cm ...
Formula : -
Area = l × b
According to formula : -
20 × 12
240cm
So, Area of rectangle is 240cm ..