Question

100 points!!!!!!!!!!

A community has an empty field ready for development and plans to place a playground in the center. A model of the plan for the project is shown. A large rectangle with dimensions of 21 feet by 36 feet. Inside it is a smaller rectangle with dimensions of 15 feet by 12 feet. How much area is left for development in the field outside the playground? 756 ft2 576 ft2 288 ft2 180 ft2

Answer 1

576 ft²

Explanation:

Large rectangle:

21·36=756

Smaller rectangle:

15·12=180

Find leftover area:

756-180

=576 ft²

Hope this helps! :)

Answer 2

The area that is left for development in the field outside the playground is 576 ft².

Explanation:

To calculate the area left for development in the field outside the playground, we need to subtract the area of the smaller rectangle from the area of the larger rectangle.

The area of a rectangle is the product of its width and length:

`\boxed{\sf Area\;of\;a\;rectangle=width * length}`

The dimensions of the larger rectangle are:

• width = 21 ft
• length = 36 ft

The dimensions of the smaller rectangle are:

• width = 15 ft
• length = 12 ft

Therefore, the development area can be calculated as follows:

`\begin{aligned}\sf Development \;area&=\sf Area_(large\;rectangle)-Area_(small\;rectangle)\\\\&=(21 * 36)-(15 * 12)\\\\&=756-180\\\\&=576\; \sf ft^2\end{aligned}`

Therefore, the area that is left for development in the field outside the playground is 576 ft².