Question

A square lawn is surrounded by a path 2.5m wide, If the area of the path is 165msquare find the area of the lawn

Answer 1

⛄️HEYA MATE ⛄️
______________________________

YOUR ANSWER IS GIVEN BELOW :–

LET THE SIDE OF THE LAWN BE =X

WIDTH OF THE PATH =2.5m

SO, FIRST WE HAVE TO FIND THE SIDE OF THE LAWN AND IT'S PATH = X + 2 [2 .5m] = x +5m

THEN , THE AREA OF THE LAWN = [AREA OF THE LAWN CONSISTING IT'S PATH] -[ AREA OF THE PATH ]

=>AREA OF THE SQUARE = [ side ]^2

=>SO , THAT WE CAN SAY

x^2 = (x + 5)^2 – 165 m^2

x^2= (x^2 + 10x +25) - 165m^2

x^2= x^2+ 10x + 25 - 165

x^2 = x^2 + 10x - 140

x^2 - 140 = x^2 - 10x

x^2- x^2- 140 = -10x

-140 = -10x

140 = 10x

THEREFORE X = 140 ÷ 10 =14

SO, THE SIDE OF THE LAWN = 14 m

THEN THE AREA OF THE LAWN = 14^2 = 196m^2

______________________________

☺️HOPE IT'S HELP YOU:☺️

⭐️BE BRAINLY⭐️

♥️HAVE A GREAT DAY ♥️