Question

A path 2.5 cm wide is built along the border inside a square garden of side is 50 m find the area of path give me answer

Answer 1

Answer:

★ Area of path = 49.75 m² ★

Step-by-step explanation:

Given:

• Side of the square garden is 50m
• Width of path is 2.5 cm

To Find:

• What is the area of path?

Solution: Let ABCD be a square park of side 50m and EFGH is another square inside this park.

★ Area of Square ABCD = (Side)² ★

$\small\implies{\sf }$ Area of ABCD = (50)²

$\small\implies{\sf }$ Area of ABCD = 2500 m²

† In Square EFGH †

→ Width of path is in cm so we have to convert it in m

→ 1 m = 100 cm

∴ 2.5 cm = 2.5/100 = 0.025 m

• Length of EF = AB –( 0.025 + 0.025) cm
• Length of EF = 50 – 0.05 = 49.5 m

• We know that all sides of Square are equal •

∴ EF = FG = GH = HE = 49.5 m

★ Area of Square EFGH = (Side)² ★

$\small\implies{\sf }$ Area of EFGH = (49.5)²

$\small\implies{\sf }$ Area of EFGH = 2450.25 m²

★ To find the area of Path we have to subtract Area of EFGH from ABCD ★

$\small\implies{\sf }$ Area of path = (2500 – 2450.25) m²

$\small\implies{\sf }$ Area of path = 49.75 m²

Hence, Area of path is 49.75 m²