Question

Find the perimeter of the trapezoidal brick to the nearest tenth of an inch.

Answer 1

The perimeter of the figure is 50 feet.

Explanation:

The trapezoid is attached.

Remember, the perimeter is the sum of all sides. But, in this case, we don't know the lenght of all sides. So, we need to find them.

Notice that the missing side on the left is congruent to the vertical leg of the right triangle. So, we use the Pythagorean Theorem to find it. Also, observe that the horizontal leg of the right triangle is 6 feet long.

`10^(2) =6^(2) +h^(2) \\h^(2)=100-36\\ h=√(64)=8`

Now, we can sum all sides to find the perimeter

`P=8 +13+10+19=50 \ ft`

Therefore, the perimeter of the figure is 50 feet.