Geometry (7MAAP)

Jessie is helping her grandmother plant a garden in the shape of the trapezoid shown.

What is the area, in square feet, of this garden?

A right rectangular pyramid is shown.

What two­-dimensional figure results from vertically slicing the pyramid from its apex to its base?

Mr. Thomas owns a rectangular property that is 52 feet long and 35 feet wide.

He adds a new triangular property directly behind his existing property.

The base length of the triangular property is equal to the length of the rectangular property. An aerial view of the whole property is shown.

The area of the whole property is 2,600 square feet.

Based on the diagram, what is the maximum height, in feet, of the triangular property?

Angles ABC and CBD are supplementary angles. The measure of ∠ABC can be represented by the expression $$\left(3x+14\right)\degree$$ , and the measure of ∠CBD can be represented by the expression $$\left(5x+6\right)\degree$$ .

What is the measure, in degrees, of ∠ABC?

A school’s art teacher designs a circular flower bed inside a rectangular sandbox. The sandbox is 6 feet wide and 10 feet long.

How many square feet of sand will there be after the flower bed is

installed? Use for 3.14 for $$\pi$$

Round the answer to the nearest square foot.

Shawn is placing a fence around a circular garden with a ­15-foot diameter.

How many feet of fencing will Shawn need to buy to enclose the garden?

Use 3.14 for $$\pi$$ . Round the answer to the nearest foot.