In a square Park of side 80 m , a pathway of with 5 is to be constructed. find the area of the pathway.
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In a square Park of side 80 m , a pathway of with 5 is to be constructed. find the area of the pathway.
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Class 7
>>Maths
>>Perimeter and Area
>>Perimeter and Area of Squares and Rectangles
>>A path 5 cm wide runs along inside a squ
Question

A path 5 cm wide runs along inside a square park of side 100 cm. Find the area of the path . Also find the cost of cementing at the the rate of Rs 250 per 10 sq.cm.
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Solution

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Given inner side of square park, s=100 cm
Area of inner square =1002=10000 cm2
width of path,w=5 cm
Outer side of square =100+5+5=110 cm
Area of outer square =1102=12100 cm2
Area of path =12100−10000=2100 cm2
Cost of cementing at the rate of Rs 250 per 10 sq cm = Rs 250×210= Rs 52500
∴ Cost of cementing a 2100 cm2 path =Rs. 52500