Area of Polygons Answers

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that apply.

What size will the park be? 244.4 square feet3,600 square feet✔ 3,610 square feet36,100 square feet

If the neighborhood wants to know the amount of fencing needed to go around the park, it will need to find the area✔ perimetercircumferencediagonal

What is the exact amount of fencing they will need? 100 feet144.4 feet✔ 244.4 feet3,610 feet

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If the neighborhood wants to know the size of the park it can build on the lot, it needs to find the ✔ areaperimetercircumferencediagonal.

2 m by 36 m8 m by 9 m8.5 m by 8.5 m4 m by 18 m6 m by 12 m7.5 m by 9.5 m

A swing set is going to be placed over a region of mulch that is shaped like a trapezoid. The bases of the trapezoid have a length of 12 and 15 feet, and the perpendicular distance between the bases is 8.5 feet. What is the area of the region under the swing set? If necessary, round your answer to the nearest tenth. The area is square feet.

The kids in the neighborhood often play a variation of the game hopscotch. In one section of the park, there are triangles and rectangles painted on the ground. What is the height, h, of one blue triangle if the area of the triangle is 90 square inches?

The area of a parallelogram is 31.5 ft2 and the height is 6.3 ft. What is the length of the base?