Question

find the area of the figure pictured below.
3 ft
11 ft
4 ft
12 ft
area = \boxed{} ft²

Explanation:

Step1: Split into two rectangles

We can divide the L-shape into a vertical rectangle and a horizontal rectangle.
Vertical rectangle: height $11-4=7$ ft, width $3$ ft.
Horizontal rectangle: length $12$ ft, width $4$ ft.

Step2: Calculate area of vertical rect

Area = $\text{width} \times \text{height}$
$\text{Area}_1 = 3 \times 7 = 21$ $\text{ft}^2$

Step3: Calculate area of horizontal rect

Area = $\text{length} \times \text{width}$
$\text{Area}_2 = 12 \times 4 = 48$ $\text{ft}^2$

Step4: Sum the two areas

Total area = $\text{Area}_1 + \text{Area}_2$
$\text{Total Area} = 21 + 48$

Answer:

$69$ $\text{ft}^2$