Question

Q1.A PATH 5M WIDE RUN ALONG INSIDE A SQUARE PARK OF SIDE 100M. FIND THE AREA OF THE PATH. ALSO FIND THE COST OF CEMENTING IT AT RATE OF RS. 250 PER 10MSQUARE​.

Answer 1

Step-by-step explanation:

✬ Area = 1900 m² ✬

✬ Cost = Rs 47500 ✬

Step-by-step explanation:

Given:

• Width of path that is inside square park is 5 m.
• Measure of each side of square park is 100 m.
• Cost of cementing is Rs 250 per 10 m².

To Find:

What is the area of the path & cost of cementing ?

Solution: Let ABCD be a square park. We have

AB = BC = DC = AD = 100 m.

As we know that

★ Area of Square = Side² ★

➟ Area of ABCD = (100 × 100) m²

➟ 10000 m²

So the area of square park is 10000 m².

Now in square EFGH , we have

➙ EF = AB – ( 5 + 5 )

• EF = 100 – 10 = 90 m

➙ GF = BC – ( 5 + 5 )

• GF = 100 – 10 = 90 m

∴ Area of EFGH = Side²

➟ (90 × 90) m²

➟ 8100 m²

So the area of square EFGH is 8100 m².

Area of path = Area (ABCD – EFGH)

⟹ Ar. Path = (10000 – 8100)

⟹ 1900 m²

Hence, the area of path is 1900 m².

Cost of cementing per metre² = 250/10

Cost of cementing per metre² = 250/10Rs 25 per m².

∴ Cost of cementing 1900 m² = 1900 × 25

➮ Rs 47500

Hence, cost of cementing path is Rs 47500.