Answer:
36 square feet
Explanation:
The shape of the hole is a triangle with a rectangular hole cut in it. First we find the area of the triangle. The base of the triangle is 7 and the height is 12. The area of a triangle is found using the formula
A = 1/2bh
Using our values, we have
A = 1/2(7)(12) = 1/2(84) = 42 ft²
The rectangular portion that is cut out has dimensions of 2 feet by 3 feet. The formula for the area of a rectangle is
A = lw
Using our dimensions, we have
A = 2(3) = 6 ft²
The area that is covered is the difference between these two:
A = 42 - 6 = 36 ft²