Question

Helppp with geometry!!

Answer 1

Answer: 128 square feet

Step-by-step explanation

Any rectangle has opposite congruent sides. The 13 up top means the bottom of the rectangle is also 13 units. The horizontal piece of the triangle is 19-13 = 6 ft long.

Use the pythagorean theorem
`a^2+b^2 = c^2` to find the vertical side of the triangle is 8 ft. We have a 6-8-10 right triangle.

The height of the rectangle is also 8 ft.

The area of the rectangle is 8*13 = 104 square feet. The triangle has area of 0.5*6*8 = 24 square feet. The total area is 104+24 = 128 square feet

Another approach would be to use the area of a trapezoid formula as shown below.

area = 0.5*height*(base1+base2)

area = 0.5*8*(19+13)

area = 128 square feet