Question

find the area of the shape.
(sides meet at right angles.)
2 in
2 in
2 in
5 in
3 in
4 in
square inches

Explanation:

Step1: Divide the shape into two rectangles

We can split the L - shaped figure into two rectangles. One rectangle has dimensions \(4\) in (length) and \(3\) in (height), and the other rectangle has dimensions \(2\) in (length) and \((5 - 3)=2\) in (height).

Step2: Calculate the area of the first rectangle

The area of a rectangle is given by the formula \(A = l\times w\), where \(l\) is the length and \(w\) is the width. For the first rectangle with \(l = 4\) in and \(w=3\) in, the area \(A_1=4\times3 = 12\) square inches.

Step3: Calculate the area of the second rectangle

For the second rectangle with \(l = 2\) in and \(w = 2\) in, using the area formula \(A=l\times w\), we get \(A_2=2\times2=4\) square inches.

Step4: Sum the areas of the two rectangles

To find the total area of the shape, we add the areas of the two rectangles. So the total area \(A = A_1+A_2=12 + 4=16\) square inches.

Answer:

16