A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for \(\text{π}\).

Multistep

Erin wants to carpet the floor of her closet. A floor plan of the closet is shown.

a. How much carpet does Erin need?

b. The carpet Erin has chosen costs $2.50 per square foot. How much will it cost her to carpet the floor?

Multiple Representations

Hexagon ABCDEF has vertices A(-2, 4), B(0, 4), C(2, 1), D(5, 1), E(5, -2), and F(-2, -2). Sketch the figure on a coordinate plane. What is the area of the hexagon?

A field is shaped like the figure shown. What is the area of the field? Use 3.14 for \(\text{π}\).

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 12 cm long and 4 cm wide. The diameter of each semicircle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for \(\text{π}\).

Multistep

Alex is making 12 pennants for the school fair. The pattern he is using to make the pennants is shown in the figure. The fabric for the pennants costs $1.25 per square foot. How much will it cost Alex to make 12 pennants?

Reasoning

A composite figure is formed by combining a square and a triangle. Its total area is \(32.5\text{ ft}^2\). The area of the triangle is \(7.5\text{ ft}^2\). What is the length of each side of the square? Explain.