A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.
A) 5 feet × 18 feet
B) 30 feet × 45 feet
C) 30 feet × 32 feet
D) 30 feet × 43 feet
E) 30 feet × 40 feet

Question

Quizplus · Accepted Answer

The original area is 25' × 27' = 675 square feet. Doubling this area gives 1350 square feet for the new pen. Let x be the amount added to the short side (25'), then x + 13 is added to the long side (27'). The equation for the new area is (25 + x)(27 + x + 13) = 1350. Simplifying, we find x = 5, so the new dimensions are 25 + 5 = 30 feet and 27 + 5 + 13 = 45 feet.

A Farmer Wants to Enlarge an Existing Rectangular Pig Pen