How many square feet of outdoor carpet will we need for this hole?

36 square feet

Step-by-step 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

a

step-by-step explanation:

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: