The breadth of a rectangle is 15m less than its length. .the perimeter of a rectangle is 430m find the area of rectangle
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Answered by
0
The area of rectangle is 11500 sq.m.
Step-by-step explanation:
Let the length be x
We are given that The breadth of the rectangle is 15m than its length.
Breadth = x+15
Perimeter of rectangle = 2(l+b)=2(x+x+15)=2(2x+15)
We are given that The perimeter is 430m
So, 430 =2(2x+15)
\begin{gathered}\frac{430}{2}=2x+15\\\frac{430}{2}-15=2x\\\frac{\frac{430}{2}-15}{2}=x\\100=x\end{gathered}
2
430
=2x+15
2
430
−15=2x
2
2
430
−15
=x
100=x
Length = 100 m
Breadth = 100+15 = 115 m
Area of rectangle = Length \times Breadth = 100 \times 115 = 11500 m^2Length×Breadth=100×115=11500m
2
Hence the area of rectangle is 11500 sq.m.
#Learn more:
Find the breath of a rectangle whose perimeter is 360 cm and length is 102
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