Question

An a framed cabin is shaped like an iscoles triangle with legs of 24 feet the floor of the cabin is a rectangle that is twice as long than it is wide with an area of 1152. A loft is added by installing a floor that attaches 5/8 up the legs. Find the area of the loft

Answer 1

To find the area of the loft in the framed cabin, we need to determine the dimensions of the loft first. The loft is formed by installing a floor that attaches 5/8 up the legs of the cabin. Given that the area of the cabin's floor is 1152 square feet, we can find the width and length of the loft and then calculate its area.

Step-by-step explanation:

To find the area of the loft, we need to determine the dimensions of the loft first.

The loft is formed by installing a floor that attaches 5/8 up the legs of the cabin, which means it covers 5/8 * 24 = 15 feet of each leg.

So, the length of the loft is 24 - 15 = 9 feet.

The width of the loft is equal to the width of the cabin's floor, which is half of its length.

Given that the area of the cabin's floor is 1152 square feet, we can set up an equation: width * length = 1152. Substituting the value of length, we get: width * 9 = 1152.

Solving for width, we find that the width of the cabin's floor is 128 feet.

Therefore, the area of the loft is length * width = 9 * 128

= 1152 square feet.