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Use the formulas for perimeter and area of a rectangle.
12 23 inches
We are given a rectangle with an area of 8 14 square inches.
A rectangle has two pairs of equal sides, so we can find its perimeter using the following formula.
P=2l+2w
A= 8 14, l= 4 12
a bc=a* c+b/c
Multiply
Add terms
Now, we will solve the resulting equation for w.
.LHS /9/2.=.RHS /9/2.
Cancel out common factors
Simplify quotient
.a /b./.c /d.=a/b*d/c
Multiply fractions
Multiply
Next, we can reduce this fraction by 6.
a/b=.a / 6./.b / 6.
Calculate quotient
Rearrange equation
We found that the width of the given rectangle is 116 inches. Now that we have the length and the with, we can substitute l= 92 and w= 116 into the perimeter's formula. Let's do it!
l= 9/2, w= 11/6
a/c* b = a* b/c
Multiply
When adding or subtracting fraction, they should have the same denominator. In this exercise, we have two fractions with different denominators. Since 6 is a multiple of 2, we can multiply both the numerator and denominator of 182 by 3 to create a common denominator.
a/b=a * 3/b * 3
Multiply
Add fractions
Add terms
a/b=.a / 2./.b / 2.
Calculate quotient
Finally, let's rewrite the fraction as a mixed number.
Write as a sum
Write as a sum of fractions
Calculate quotient
Add terms
The rectangle's perimeter is 12 23 inches.
