Question

A footpath of uniform width runs all around the inside of a rectangular field 50m long

and 38m wide. If the area of the path is 492m2

, find its width.​

Answer 1

1Through a process called photosynthesis, plants use energy in sunlight to turn a gas called carbon dioxide and water into sugar. Plants then use this sugar to grow. At the same time, plants produce a gas called oxygen as a waste product, which is lucky for us and other animals because we need oxygen to breathe!

Answer 2

Answer

AnswerOpen in answr app

AnswerOpen in answr appLet the width of footpath=x

AnswerOpen in answr appLet the width of footpath=xtotal area of rectangle ABCD = area of footpath + area of EFGH

AnswerOpen in answr appLet the width of footpath=xtotal area of rectangle ABCD = area of footpath + area of EFGH⇒50×38=492+[(50−2x)×(38−2x)]⇒1900=492+[1900−100x−176x+4x2]⇒4x2−176x+492=0⇒x2−44x+123=0⇒(x−3)(x−41)=0∴x=3m