Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5 if ( x = 7 ) units, ( y = 11 ) units, and ( h = 8 ) units, then what …

Question

5
if ( x = 7 ) units, ( y = 11 ) units, and ( h = 8 ) units, then what is the area of the trapezoid shown above?
a. 56 square units
b. 88 square units
c. 72 square units
d. 64 square units

Explanation:

Step1: Recall the formula for the area of a trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a\) and \(b\) are the lengths of the parallel sides and \(h\) is the height.

Step2: Substitute the given values into the formula

Here, \(a=x = 7\) units, \(b=y = 11\) units, and \(h = 8\) units.

$$ LATEXBLOCK0 $$

Step3: Calculate the value

\(9\times8=72\)

Answer:

C. 72 square units