Question

Travis has a deck that measures 12’ x 7’. he wants to increase each dimension by equal lengths so that they area is increased by 50%. by how much should he increased each dimension

Answer 1

Travis should increase each dimension of his deck by 3 feet.

Step-by-step explanation:

To increase the area of the deck by 50%, we need to find out by what factor the dimensions should be increased. Let's say the increase factor is 'x'.

The area of the original deck is 12 ft x 7 ft = 84 sq ft.

The area of the increased deck should be 50% more, which means 1.5 times the original area.

So, 1.5 * 84 = 126 sq ft.

The dimensions of the increased deck will be (12+x) ft x (7+x) ft.

Using the formula for area: (12+x)*(7+x) = 126.

Solving this quadratic equation, we get x=3.

Therefore, Travis should increase each dimension of his deck by 3 feet.