Question

A footpath of uniform width 5 m runs on the outside of a rectangular field of 40m by 32m. Find the area of the path. Also find the cost of construction of the path at 50 paise per square metre.​

Answer 1

ANSWER:-

Let the width of footpath=x

total area of rectangle ABCD = area of footpath + area of EFGH

⇒50×38=492+[(50−2x)×(38−2x)]

⇒1900=492+[1900−100x−176x+4x

2

]

⇒4x

2

−176x+492=0

⇒x

2

−44x+123=0

⇒(x−3)(x−41)=0

∴x=3m

Step-by-step explanation:

HOPE IT'S HELPS YOU

PLEASE MARK ME AS BRAINLIEST