Question

find the height of the rectangle pictured above if the area is 510 m². height = □ m question 8 finding the perimeter of a trapezoid use the diagram of the trapezoid in figure a to answer the questions. figure a 5.83 m

Explanation:

Step1: Recall the area formula for a rectangle.

The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{height} \), where the length is \( 30 \, \text{m} \) and the area \( A = 510 \, \text{m}^2 \). Let \( h \) be the height. So we have the equation \( 510 = 30 \times h \).

Step2: Solve for the height \( h \).

To find \( h \), we divide both sides of the equation by \( 30 \). So \( h=\frac{510}{30}\).

Step3: Calculate the value of \( h \).

\(\frac{510}{30} = 17\).

Answer:

\( 17 \)