Which statements are true about the area of the figure? Check all that apply.
A figure can be broken into 2 rectangles. One rectangle has a base of 3 and one-half and a height of 2 and one-half. The other rectangle has a base of one-half and a height of one-half.
The area can be found by multiplying 3 by 2One-half and adding the product of One-half and One-half.
The area can be found by multiplying 3 by 3 and one-half and then subtracting the product of 3 and One-half.
The area can be found by multiplying 3 by 2One-half and adding the product of 3 and One-half.
The area can be found by multiplying 3 by 3 and one-half and then subtracting the product of 2One-half and One-half.
The area can be found by multiplying 2One-half by 3One-half and adding the product of One-half and One-half.
The area is 7Three-fourths square units.
The area is 9One-fourth square units.
Answers
Given : A figure can be broken into 2 rectangles. One rectangle has a base of 3 and one-half and a height of 2 and one-half. The other rectangle has a base of one-half and a height of one-half.
To find : area
Solution:
See the attache figure
A figure can be broken into 2 rectangles. One rectangle has a base of 3 and one-half and a height of 2 and one-half. The other rectangle has a base of one-half and a height of one-half.
The area can be found by multiplying 3 by 2One-half and adding the product of One-half and One-half.
The area can be found by multiplying 3 by 2One-half and adding the product of 3 and One-half.
Area = 3 * 2.5 + 3(1/2)
= 7.5 + 1.5
= 9 square units
The area can be found by multiplying 3 by 3 and one-half and then subtracting the product of 3 and One-half.
3 * 3.5 - 3 * (1/2)
= 10.5 - 1.5
= 9
The area can be found by multiplying 2One-half by 3One-half and adding the product of One-half and One-half.
or (2.5) * (3.5) + (1/2)(1/4)
= 8.75 + 0.25
= 9 square units.
The area is 9 square units.
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