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You are going to install a number of up lights in a new triangle-shaped sidewalk as shown in Figure 107.1301. Your contract requires that this area be poured with concrete around your lights. A concrete contractor will do the finishing and will charge you by the area to be finished. If the concrete contractor charges you by the number of square yards of area to be finished, his invoice should be for ___ yd².

Select one:
A. 49.1
B. 48.7
C. 16.3
D. 32.5
E. 98.2

Answer :

To find the area of the triangle-shaped sidewalk, multiply the base and height of the triangle and divide by 2. Then, convert the area from square feet to square yards by dividing by 9. Therefore, the concrete contractor's invoice is 22.61 yd2.

To determine the area of the triangle-shaped sidewalk, we need to find the base and height of the triangle. we can see that the base of the triangle is 29 feet and the height is 7 feet. To find the area of a triangle, we use the formula A = (base * height) / 2. Substituting the values, we get A = (29 * 7) / 2 = 203.5 square feet.

Since the concrete contractor charges by the area in square yards, we need to convert the area from square feet to square yards. There are 9 square feet in 1 square yard, so we divide the area in square feet by 9 to get the area in square yards. 203.5 square feet / 9 = 22.61 square yards (rounded to two decimal places).

Therefore, the concrete contractor's invoice is 22.61 yd2.

Learn more about Calculating area of a triangle here:

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