Applying Systems of Linear Equations

[Chocolate]

A rectangle is to be drawn with perimeter 64 cm. If the length is to be 14 cm more than the width, determine the area of the rectangle.

I got an answer of 252 cm^2 but the answer key says 207 cm^2, how would you get that? If you want me to show what i did for my work, i can.

 

[ting]

If the length was not 14 cm more than the width

You would have a square with a side length of

(64 - 28)/4 = 36/4 = 9 cm

But the length is 14 cm more than the width so you have

width = 9 cm

and length = 23 cm

A = length * width


Or

Let the width be w, then


2w + 2(w + 14) = 64


w + w + 14 = 32


Solve for the the width, w, then add 14 to find the length.