Question

The area of a square field is 4225sq.m. If each side is increased by 2 m, what will be the increase in its area?

Answer 1

Area of sq. field = 4225m²

[ to find the side of sq. we need to find the sq. root of given area i.e. 4225m² ]

$side \:of \: sq. \: field = \sqrt{4225 }m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{65 \times 65} m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 65m$

Each side is increased by 2
= (65+2)m
= 67m

Area of sq. field when each side is increased by 2
= (67×67)m²
= 4489m²

Increased in area = (4489 - 4225)m²
= 264m²

$hope \: it\:helps \: you$

Answer 2

Step-by-step explanation:

Area of sq. field = 4225m²

[ to find the side of sq. we need to find the sq. root of given area i.e. 4225m² ]

side of squre field =√4225 =65 m

increase in side by 2 m

area of new square field = 67×67 = 4489 m²

increase in its area = 4489-4225=264 m²