Problema Solution

The length of a rectangular room is 5 more yards than the width. If the area is 300yd^2. find the length and width of the room.

Answer provided by our tutors

let


l = the length of the room, l>0

w = the width of the room, w>0

A = 300 yd^2 the area of the room


the length of a rectangular room is 5 more yards than the width


l = 5 + w


the formula for area of rectangle is A = length*width or


A = l*w


l*w = 300


plug l = 5 + w into l*w = 300


(5 + w)*w = 300


by solving we find


w = 15 yd


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l = 15 + 5


l = 20 yd


the length of the room is 20 yd.

the width of the room is 15 yd.