Question

The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.

269

likes
1347 views

Answer to a math question The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.

Expert avatar
Neal
4.5
104 Answers
Let's represent the width of the rectangle as $w$.

According to the problem, the length is five more than the width, so we can write the equation: length = $w+5$.

The perimeter of a rectangle is equal to twice the sum of its length and width. So, the equation for the perimeter is: $2(w + (w+5)) = 120$.

Simplifying the equation:
$2(2w + 5) = 120 \implies 4w + 10 = 120$.

Subtracting 10 from both sides:
$4w = 110$.

Dividing by 4 on both sides:
$w = 27.5$.

Thus, the width of the rectangle is 27.5.

To find the length, we substitute the value of $w$ back into the equation:
length = $w + 5 = 27.5 + 5 = 32.5$.

Answer: The width of the rectangle is 27.5 units, and the length is 32.5 units.

Frequently asked questions (FAQs)
What is the formula to find the area of a triangle given base length (b) and height (h)?
+
What is the simplified form of (3x + 2)(4x - 1) using the distributive property?
+
What is the probability of obtaining a head when flipping a fair coin once?
+
New questions in Mathematics
How do you think the company has increased or decreased its income?
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
[(36,000,000)(0.000003)^2]divided(0.00000006)
30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
I need to know what 20% or £3292.75
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
94 divided by 8.75
2x-5-x+2=5x-11
00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter