Question

Sayali drew the design shown below with sidewalk chalk. The design 2 points has four identical shaded parallelograms joined together. Each parallelogram has a base of 12 in. and a height of 21 in. What is the area, in square inches, of the unshaded part of Sayali's design? A. 21 in. B. 42 in. C. 12 in. D. 48 in.

Answer 1

To find the area of the unshaded part of Sayali's design, multiply the base and the height of one shaded parallelogram. Then, multiply that area by 4 to find the total area of the shaded part. Finally, subtract the area of the shaded part from the total area of Sayali's design to find the area of the unshaded part.

Step-by-step explanation:

To find the area of the unshaded part of Sayali's design, first find the area of one shaded parallelogram. The formula for the area of a parallelogram is base x height. In this case, the base is 12 inches and the height is 21 inches. Therefore, the area of one shaded parallelogram is 12 in x 21 in = 252 in².

Since there are four identical shaded parallelograms joined together, the total area of the shaded part is 4 x 252 in² = 1008 in².

To find the area of the unshaded part, subtract the area of the shaded part from the total area. The total area of Sayali's design is the same as the area of the four shaded parallelograms. Therefore, the area of the unshaded part is 1008 in².