A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 feet wide on all sides. The length of the sandbox is 2 feet more than the​ width, and the total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox.

Respuesta :

Answer:

About 76.159 square feet

Step-by-step explanation:

This can be solved by using an equation. Let's call the combined width of the sandbox and grass x+5, and the length x+7.

(x+5)(x+7)=189

x^2+12x+35=189

x^2+12x-154=0

x≈7.784 feet

x(x+2)≈76.159. Hope this helps!