Question

Mateo uses 39.5 feet of fence for a rectangular pen alongside his house. He only needsto fence three sides such that the pen's length is 2.5 feet more than its width. Hedecides to put the shorter side (width) along the house as shown.What is the area inside the pen?houseEnter the value of the answer in the first blank and enter the units in the secondEnter your answer in decimal form. Round to the nearest tenth if rounding is necessaryEnter units as ... square it, or cubic ftThe pebrothemsuing hiThe area inside the pen is (about)1SHOWM

Answer 1

Mateo uses 39.5 ft of fence

As we can see, he only needs to fence three sides. The perimeter of the pen is:

x + x + 2.5 + x + 2.5 = 39.5

3x + 5 = 39.5

x = 11.5 ft

The area A inside the pen can be calculated as:

A = x*(x + 2.5) = 11.5*14

A = 161 ft²