Question

The picture shows the letter H that is on a store sign.
3 in.
9 in.
3 in.
3 in.
3 in.
3 in.
What is the area of this letter H? Enter the answer in the box.
square inches

Answer 1

Answer:

$63in^2$

Step-by-step explanation:

To find the area of the larger, complex figure, divide the shape up into smaller figures, solve for the area of each smaller part and then add up the answers to find the total area. The figure can be divided into two rectangles and a square.

The two rectangles are congruent, their dimensions are the following,

9in x  3in

The area of the square is the following,

3in x 3in

To find the area of both of these figures, one uses the formula,

$(length)(width)$

Substitute in each dimension and solve for the total area by adding up the results,

$((9)(3))+((9)(3))+((3)(3))\\\\=(27)+(27)+(9)\\\\= 63$