9514 1404 393
Answer:
29 in²
Step-by-step explanation:
No need to be stumped. The dashed lines divide the figure into three recognizable forms, for which you have area formulas.
The area of a rectangle or parallelogram is given by the formula ...
A = bh . . . . . where b represents the base, and h represents the height.
__
The top part of the figure is a square. That is, it is a rectangle with its base equal to its height. In this figure, both are labeled 2 in.
A = (2 in)(2 in) = 4 in² . . . . . . area of top square
The middle part of the figure is a parallelogram. Its base is the same as the base of the rectangle below it. Its height is labeled 3 in.
A = (5 in)(3 in) = 15 in² . . . . . . area of middle parallelogram
The bottom part of the figure is a rectangle with a height of 2 in. Its base is the same length we used for the parallelogram: 5 in.
A = (5 in)(2 in) = 10 in²
The area of the figure is the sum of the areas of its parts:
figure area = 4 in² + 15 in² + 10 in² = 29 in²
The area of the figure is 29 in².
