3. What is the perimeter of a rectangle if the width is 2 ½ inches and the length is 4.5 inches?
1 answer:
Answer:
Perimeter of the rectangle = 14 inches
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given length of the rectangle = 4.5 inches
Given that the width of the rectangle = inches
The area of the rectangle = length × width
= 4.5 × 2.5
= 11.25 sq inches
<u><em>Step(ii):-</em></u>
Perimeter of the rectangle = 2( length + width)
= 2( 4.5 + 2.5)
= 14 inches
<u><em>Final answer:-</em></u>
Perimeter of the rectangle = 14 inches
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First, you have to find out the values of the length and width.
Let l = length and w = width.
Set up your equation for area: l * w = 80
Set up your equation for perimeter: 2l + 2w = 36
We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.
(Divide w on both sides) l = 80 / w
Since I know that l = 80 / w, I can substitute it into the second equation.
2l + 2w = 36, and l = 80 / w
= 2 (80/w) + 2w = 36
Simplify the equation.
= 160/w + 2w = 36
Get rid of the w in the denominator by multiplying the entire equation by w.
= ( 160/w + 2w = 36 ) * w
= 160 + = 36w
= 2 ( w - 8 ) ( w - 10 )
The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =
a. 144 cm
Hope this helped you! Let me know if there are any confusions :)