AnswersFL-1205010-MJ Grade 6 Mathematics B -GFRelating Relationships Shown in Tables to Equations

Area of Parallelograms Answers

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If the height of the parallelogram shown is increased by 1 cm and the base is increased by 2 cm, what is the area of the new parallelogram?

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A
28 cm2
B
39 cm2
C
55 cm2
D
60 cm2
2
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What is the area of the parallelogram?

Question illustration
A
32 cm2
B
65 cm2
C
70 cm2
D
195 cm2
3

Meiko is hanging a picture-collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover the collage with smaller pictures that have the same shape as the collage. If the base of each small picture is 4.5 inches and the height is 3.5 inches, how many small pictures will fit within the collage?

Question illustration
A
26
B
32
C
37
D
42
4

Leo has 100 paving tiles in the shape of parallelograms as shown below. He plans to make a patio using these tiles. What will the area of the patio be?

Question illustration
A
1,800 in.2
B
2,050 in.2
C
3,600 in.2
D
5,100 in.2
5

Mateo has 60 wooden tiles in the shape of diamonds as shown below. He plans to glue these tiles side by side onto a tabletop. What will the area of the tabletop be?

Question illustration
A
1,080 in.2
B
1,260 in.2
C
1,620 in.2
D
2,160 in.2
6

Lorea is designing the top of a quilt which measures 2,160 square inches. Triangles will cover 432 square inches of the quilt, and squares will cover 180 square inches. The rest of the quilt will be parallelograms with a base of 2 inches and a height of 1.5 inches. How many parallelograms should she cut to complete the quilt?

A
516
B
528
C
617
D
720
7

Tenesha is trying to draw a parallelogram and find its area using the two line segments shown.She begins by finding the missing vertex on the graph to be point (9, 5). Then she calculates the area of the parallelogram. What errors did she make? Check all that apply.

Question illustration
A
She did not find the correct vertex; it should be at (8, 5).
B
She used the wrong area formula; it should be .
Option B
C
She used the wrong length for the base; it should be 7, like the given base.
D
She used a side length of the parallelogram for the height instead of a line segment perpendicular to the base; the height should be 3.
E
She should have found a segment for the top that was not parallel to the bottom.
8

Meiko is hanging a picture-collage on her wall. It is in the shape of a parallelogram. How much wall area will it cover?

Question illustration
A
156 in.2
B
252 in.2
C
504 in.2
D
576 in.2
9

Clint found the area of the parallelogram shown. Which statement explains the error Clint made?Clint’s Work:

Question illustration
A
Clint used the wrong units. He should have used cm, as that is what was in the diagram.
B
Clint used the wrong formula. He should have used .
Option B
C
Clint did not use all three numbers in the diagram. He should have multiplied them all.
D
Clint did not use a height perpendicular to the base. He should have used 4 for the height.
10

Abigail wants to make a tapestry in the shape of a parallelogram that is 24 inches across the bottom and 36 inches tall. If she pieces smaller similar parallelograms that are 2 inches at the base and 3 inches tall, how many will she need to make the tapestry?

A
12
B
24
C
144
D
216

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Area of Parallelograms Answers — FL-1205010-MJ…