The figure below is a square with an area of 625 cm2. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.

Question

Word problem 

Answer 1

For a square:

 

A = s², where s = side (the length and the width are the same)

625 = s²

±25 = s

 

length of rectangle = 1.4 · length of square

length of rectangle = 1.4(25)

length of rectangle = 35 

 

Answer 2

Hi Mckenzie,

Since a square's sides are all the same length, and Area = length * width, we know that the square's side (x) is 625=x².

Then since the length of the rectangle (y) is 40% longer, we can say y=1.4x.

Solve for y.