Distributive Property and Area

Monica uses the distributive property to write an equivalent expression to 32 + 40.

Which expression did Monica write?

• 8(4 + 5)

• 4(16 + 10)

• 8(26 + 32)

• 4(8 + 10)

Rachel wants to use the Distributive Property to rewrite 96 + 18. Which expression could she use?

• 6(16 + 3)

• 6(16 + 18)

• 2(14 + 18)

• 2(94 + 16)

Sonia is solving the problem 3(4 + 6) using an area model.

Which area model correctly solves Sonia's problem?

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Alma and Brock add a triangular porch to their home. After the porch is built, they have two equal triangular sections of grass.

What is the combined area of the two equal triangular sections of grass, in square feet?

• 48 ft²

• 24 ft²

• 96 ft²

• 32 ft²

Consider the porch, which is in the shape of a trapezoid.

What is the area of the porch?

• 18 ft²

• 192 ft²

• 36 ft²

• 80 ft²

What is the area of a right triangle with a base length of 4 units, a height of 8 units, and a hypotenuse of 10 units?

• 40 units squared

• 160 units squared

• 32 units squared

• 16 units squared

Melinda is putting grass seed in her back yard.

How many square feet must Melinda cover with grass seed to seed her entire back yard?

• 22 feet squared

• 44 feet squared

• 50 feet squared

• 25 feet squared

Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.

How many square yards of carpeting is needed to cover the entire gym?

• 24 feet squared

• 70 feet squared

• 42.5 feet squared

• 100 feet squared

The drawing of a small kite is shown.

If the actual kite has the same dimensions as shown in the drawing, how much material is needed to make the kite?

• 48 in²

• 44 in²

• 88 in²

• 62 in²

A drawing of William’s backyard is given.

If William plans to mow the yard, how much area will he have to mow?

• 60 yd²

• 70 yd²

• 27 yd²

• 1120 yd²