Question

A square shaped field has an area of 169 sq. m. An L-shaped trench is dug up within the boundary of the field along two of its sides. If the trench is 2m wide, find the reduced area of the field.

Answer 1

Answer:

Area = 121 m²

Step-by-step explanation:

Find the length of the square:

Area = Length²

Length² = 169 m²

Length = √169

Length = 13 m

Find the length if an L shaped 2m wide trench is dug out:

Length = 13 - 2 = 11 m

Breadth = 13 - 2 = 11 m

Area = Length²

Area = 11²

Area =121 m²

Answer: The area is 121 m²

Answer 2

Given:

Area = 169 sq.m

Breadth = 2 m

To find:

The reduced area of the field.

Solution:

Area = Length^2

Length^2 = 169

Hence,

Length = 13 m

To find the length of the trench,

Length = 13 - 2 = 11 m

Area = Length * Breadth

Area = 11 * 2

Area =22 sq.m

The area reduced = 22 sq.m