Answer: LAST OPTION.
Step-by-step explanation:
The formula for calculate the area of rectangle is:
[tex]A=b*h[/tex]
Where b is the base and h is the height.
The area of the original rectangle is:
[tex]A_1=5in*7in=35in^2[/tex]
If the dimensions are cut in half, then:
[tex]b_2=2.5in\\h_2=3.5in[/tex]
Therefore the new area is:
[tex]A_2=2.5in*3.5in=8.75in^2[/tex]
Divide this area by the original:
[tex]\frac{8.75in^2}{35in^2}=\frac{1}{4}[/tex]
The the new area will be one-fourth the original size.
Answer:
It will be one-fourth the original size.
Step-by-step explanation:
Given : A rectangle has a base of 5 inches and a height of 7 inches.
To find : If the dimensions are cut in half, what will happen to the area of the rectangle.
Solution : We have given
Length = 5 in.
width = 7 in.
Area = length * width.
Area = 5 * 7
Area 1 = 35 in².
If the dimensions are cut in half, what will happen to the area of the rectangle.
Length = 2.5 in.
Width = 3.5 in.
Area = 2.5 * 3.5
Area 2 = 8.75 in².
[tex]\frac{Area1}{Area2}[/tex]=[tex]\frac{35}{8.75}[/tex] = 4.
It mean Area 2 = [tex]\frac{Area1}{4}[/tex].
Area 2 = [tex]\frac{35}{4}[/tex].
Area 2 = 8.75.
Therefore, It will be one-fourth the original size.
