Question

.A rectangular park is 50 m long and 35m broad. A 3.5m broad pavement runs along the

boundary of the park. Find the cost of cementing this pavement at the rate of Rs 400 per

8m2

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Answer 1

The cost of cementing the rectangular pavement is Rs. 32200.

Explanation:

Given: Length = 50 m

Breadth = 3.5 m

The cost of cementing rectangular pavement at the rate of Rs 400 per  8m² = ?

Formula: Area of rectangle = length x breadth

Perimeter of a rectangle or outer boundary = 2 × (length + breadth)

Substituting the formulas, we find the area of the rectangle.

Area of rectangular park = length x breadth = 50 x 35 = 1750  m²

Length of outer boundary = 50 + 2 x 3.5 = 50 + 7 = 57  m

breadth of outer boundary = 35 + 2 x 3.5 = 35 + 7 = 42  m

Area of outer rectangle = length x breadth = 57 x 42 = 2394 m²

Area of pavement = Area of outer rectangle - Area of inner rectangle = 2394 - 1750 = 644  m²

The cost of cementing = $\frac{644}{8 * 400}$ = Rs.32200.

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A rectangular park is 50 m long and 35 m broad a 3.5 broad ...

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