Geometry - Areas of Polygons - Math Review

Look at the image on the left. Which triangle has the greatest area?

• 1

• 2

• 3

• 4

• The areas are all equal.

What is the value of the missing side length?

What is the total surface area of the composite figure?

Mr. H wants to add an outdoor kitchen and pizza oven to his back patio. The image on the left shows his plans. What is the total area of the concrete in the composite figure? (The light gray part.)

What is the value of the missing side length?

The trapezoid to the left is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of the side of the square?

• 5 meters

• 25 meters

• 90 meters

• Not enough information is given.

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS in 9 in. and the length of side RM is 8 in.

What is the area of triangle RST?

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS in 9 in. and the length of side RM is 8 in.

What is the ratio of the area of the parallelogram RSNM to the area of the triangle RST?

• 1:2

• 2:1

• 1:3

• 3:1

The blueprint below shows an 18-foot by 40-foot pool surrounded by a 4-foot wide walkway. What is the area of the walkway?

Mr. H is building a pool. He looks at the blueprints on the left. In order to fit a pool in his backyard, he needs to scale to blueprints so that each dimension is 1/4 of its original size. What would be the area of his new pool?