Area Models
Draw an area model to solve the following...
20 x 30
600
9 x 78
702
What's the perimeter of a box that is 5ft long and 4ft wide?
18ft
A movie theater has two rooms. Room A has 5 rows of seats with 12 seats in each row. Room B has three times as many seats as Room A. How many seats are there in both rooms?
Draw an area model to solve the following...
90 x 40
3,600
8 x 365
2,920
What's the area of a box that is 23cm long and 9cm wide?
207 square cm
The high school art teacher has 4 cases of crayons with 42 boxes in each case. The elementary school art teacher has 7 cases of crayons with 102 boxes in each case. How many total boxes of crayons do both teachers have? Is your answer reasonable? Explain.
There is a total of 882 boxes of crayons.
The answer is reasonable because I rounded both products to the nearest tens place, which was 170 and 710. If you add them together you will end up with 880.
Draw an area model to solve the following...
3 x 134
402
7 x 2,348
16,436
What's the width of a box that is 7ft long and has an area of 63 square ft?
9ft
Last year, Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters. This year, he wants to make the garden three times as long and two times as wide.
a. Solve for the length of last year’s garden using the area formula. Then, draw and label the measurements of this year’s garden.
The length of last year's garden was 4 meters.
The measurements of this year's garden is 10 meters wide and 12 meters long.
Draw an area model to solve the following...
5 x 9,345
46,725
9 x 8,654
77,886
What is the length and width of a rectangle that is 117 square meters?
Length: 9m or 13m
Width: 13m or 9m
A pair of jeans costs $89. A jean jacket costs twice as much. What is the total cost of a jean jacket and 4 pairs of jeans?
The total cost is $534.
Draw an area model to solve the following...
4 x 2,432
9,728
9 x 36,431
327,879
A rectangle is 7ft long and 4ft wide with an area of 28 square ft. If you were to double both the length and width of the rectangle what would the area of the rectangle be now?
112 square ft
Sarah bought a shirt on sale for $35. The original price of the shirt was 3 times that amount. Sarah also bought a pair of shoes on sale for $28. The original price of the shoes was 5 times that amount. Together, how much money did the shirt and shoes cost before they went on sale?
The two items cost $245 all together.