Area of Triangles and Parallelograms Assignment

Each unit on the corner grid represents 1 yard. The rectangular pool and triangular hot tub shown are both in need of covers. How much total material is needed to cover both?

29 square yards.

A rectangular table is positioned in a 10-foot x 10-foot room as shown. How long is the longer edge of the table? Square root of ____ feet. What is the area of the table top? ____ square feet.

40 ; 20

One of the altitudes of the parallelogram shown is the square root of 22.5 units. What is the length of the other altitude?

6 units

A parallelogram is cut out of a 12-inch by 8- inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches. Complete the following steps to calculate the altitude of the parallelogram using area methods. The area of the sheet of paper is ____ square inches. The combined area of the triangle cut outs is ____ square inches. The area of a parallelogram is ____ square inches. The altitude of the parallelogram rounded into decimals is ____ square inches.

96 ; 36 ; 60 ; 6.51

Find the area of the triangle QRS.

Area = 140 square units.

Find the area of the triangle DEF.

Area = 144 square units.

Which statement is true of the right triangles ABC and DEF?

Area of ABC is greater than area of DEF.

A parallelogram has coordinates of (5, 17), (10, 20), (18, 9), and (13, 6). Which right triangle represents one of the cut outs from the box method?

C

Which figure best demonstrates the set up for the box method of finding the area of a triangle?

C