Question

the area of the trapezoid is 63 square feet.
what is the trapezoids height, h?
h = feet

Explanation:

Step1: Recall trapezoid area formula

The area \( A \) of a trapezoid is given by \( A=\frac{(b_1 + b_2)}{2}\times h \), where \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides (bases), and \( h \) is the height. Here, \( b_1 = 4 \) ft, \( b_2 = 10 \) ft, and \( A = 63 \) square feet.

Step2: Substitute values into the formula

Substitute \( A = 63 \), \( b_1 = 4 \), and \( b_2 = 10 \) into the formula: \( 63=\frac{(4 + 10)}{2}\times h \). First, calculate the sum of the bases: \( 4+10 = 14 \). Then the formula becomes \( 63=\frac{14}{2}\times h \), and \( \frac{14}{2}=7 \), so \( 63 = 7h \).

Step3: Solve for \( h \)

To find \( h \), divide both sides of the equation \( 63 = 7h \) by 7: \( h=\frac{63}{7}=9 \).

Answer:

9