Question

area formulas
a = bh
rectangle, parallelogram, square

a = \frac{1}{2}bh
triangle

a = \frac{1}{2}(b_1 + b_2)h
trapezoid

(diagram of a composite figure with dimensions: 7 ft, 4 ft, 5 ft, 6 ft, 14 ft)

Explanation:

Step1: Calculate base of triangle

First, find the base length of the triangle by subtracting the given horizontal segments from the total length of the rectangle.
$14 - 7 - 4 = 3$ ft

Step2: Find area of rectangle

Use the rectangle area formula $A=bh$ with $b=14$ ft, $h=6$ ft.
$A_{rectangle} = 14 \times 6 = 84$ ft²

Step3: Find area of triangle

Use the triangle area formula $A=\frac{1}{2}bh$ with $b=3$ ft, $h=5$ ft.
$A_{triangle} = \frac{1}{2} \times 3 \times 5 = 7.5$ ft²

Step4: Sum the two areas

Add the area of the rectangle and triangle to get total area.
$A_{total} = 84 + 7.5$

Answer:

91.5 square feet