The length of a rectangular garden is 3m greater than the width. The area is 70m^2. Find the dimensions of the garden

Question

The length of a rectangular garden is 3m greater than the width. The area is 70m^2. Find the dimensions of the garden

 

 

Please help

Answer 1

Hi Taylor, for a rectangle, we know that A=L*W. Here, we are told that L=W+3.

Substituting, we get A=(W+3)*W=W2+3W=70 m2

From here, there are many ways to solve for W. Let's factor:

W2+3W-70=0
(W+10)(W-7)=0
W=7, -10

We can disregard the negative root, since length must be positive. Now, you can substitute W=7 into either of the first two equations to solve for L.