6.GM.1 - Area of Composed Polygons

2 4 4 12

A trapezoid was broken into a rectangle and two equal triangles. The base of each triangle b is ____m. The area of the rectangle is ____m2. The area of each triangle is ____m2. The area of the trapezoid is ____m2.

24 32 56

An irregular figure was broken into a triangle and rectangle. The area of the triangle is _____in2. The area of the rectangle is ____in2. The area of the irregular figure is _____ in2.

A=1/2bh A=bh

Determining Area Formulas Needed Which formulas will you use to find the area of this irregular figure? Select all that apply.

144 in squared

Giuliana built the side of a step stool, according to the plans shown below. If the figure is symmetrical, what is the area of the side of the step stool that she built, in square inches?

35 in squared

Nikhil drew a picture of an open greeting card on his paper. mc015-1.jpg What is the total area of the drawing of the open greeting card?

144 $21.60

The Martins plan for a garden is shown in the diagram. They need to figure out how much they will spend on topsoil for the garden. What is the area of the garden? The area of the garden is ____ ft2. If topsoil costs $0.15 per square foot, how much will they spend to cover the area with topsoil? They will spend $____.

84 2 $6.00

The diagram shows the dimensions of Mr. Green's garden. Irregular Figure A bag of fertilizer costs $3 and covers an area of about 50 square feet. What will be the cost for Mr. Green to fertilize his garden? The area of his garden is ___ ft2. Mr. Green will need___ bags of fertilizer. The cost will be $___.

75 ft squared

The diagram shows the dimensions of a wall in Luca's bedroom. Solving a Real-World Problem Luca wants to paint the back wall of his bedroom, and he needs to know the area to determine the amount of paint to buy. What is the area of the wall?

13

The diagram shows the layout of Lena's kitchen. She is planning to cover the floor with tile. Solving a Real-World Problem One package of tile will cover 3 square feet. How many packages of tile will she need?

1,000 220 1,220 10

The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. One ton of mulch will cover 122 square feet at the needed depth. How many tons of mulch should the committee order? The area of the rectangular section is ____ft2. The area of the triangular section is _____ ft2. The total area of the playground is ____ ft2. The committee should order _____ tons of mulch.

1,000 220 1,220 10

The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. Solving a Real-World Problem One ton of mulch will cover 122 square feet at the needed depth. How many tons of mulch should the committee order? The area of the rectangular section is ____ ft2. The area of the triangular section is ____ ft2. The total area of the playground is _____ ft2. The committee should order _____ tons of mulch.

A=(40)(25)+1/2 (22)(20)

The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. Which shows how to calculate the area of the playground?

3 inches

The irregular figure on the left has been decomposed into the figures on the right. What is the value of h, the height of the triangle?

7 centimeters

The irregular figure on the left has been decomposed into the figures on the right. What is the value of w, the width of the parallelogram?

$13,500

The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. The bottom surface of the pool is flat and needs new tile. If each tile covers mc020-2.jpg of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool?

$1,500

The school wants to order a new countertop for the teacher's lounge. The shape of the countertop that they are replacing is shown below. If the new countertop costs $0.75 per square inch, what is the price of the replacement countertop?

12 48 80 128

This figure was broken into a triangle and a parallelogram as shown. Irregular Figure Use the figures to complete the statements. The height of the triangle h is ____in. The area of the triangle is _____in.2. The area of the parallelogram is ____ in.2. The area of the irregular figure is _____ in.2.

8

This figure was broken into a triangle and a rectangle as shown. The base of the triangle b is ____ inches.

8 48 216 264

This figure was broken into a triangle and a rectangle as shown. Irregular Figure Use the figures to complete the statements. The height of the triangle h is ____cm. The area of the triangle is _____cm2. The area of the rectangle is ____cm2. The area of the irregular figure is _____ cm2.

128 in squared

What is the area of the regular trapezoid below?

192 cm squared

What is the area of this irregular figure?

4

What is the measure of the base of the triangle? The base of the triangle b has a measure of ____ inches.

1 parallelogram and 1 rectangle

Which is a way to break the irregular figure into shapes that you have area formulas for?

the amount of space enclosed by a two-dimensional figure

area

a rule or relationship between quantities that is written as an expression or equation

formula

a figure with sides that are not of equal length and angles that are not equal

irregular figure

a quadrilateral in which both pairs of opposite sides are parallel

parallelogram