MathMaster logo

MathMaster

  1. Home
  2. general
  3. the length of a rectangle is nine more than triple the width if the perimeter is 106 inches find the dimensions
Question

The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

298

likes
1490 views

Answer to a math question The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

Expert avatar
Tiffany
4.5
103 Answers
1. Let the width of the rectangle be w inches.
2. Then the length of the rectangle is 3w + 9 inches.
3. The formula for the perimeter of a rectangle is P = 2l + 2w .
4. Substituting the given perimeter and expressions for length and width:
106 = 2(3w + 9) + 2w .
5. Simplifying the equation:
106 = 6w + 18 + 2w
106 = 8w + 18
6. Subtract 18 from both sides:
106 - 18 = 8w
88 = 8w
7. Divide both sides by 8:
w = 11
8. Now calculate the length using l = 3w + 9 :
l = 3(11) + 9
l = 33 + 9
l = 42
9. Therefore, the dimensions are:
Width: w = 11 inches
Length: l = 42 inches.

Frequently asked questions (FAQs)
What is the formula for finding the standard deviation of a dataset?
+
Math Question: What is the equation of a circle centered at (3, 4) with a radius of 5?
+
Find the integral of e^x * sin(x) from 0 to π.
+
New questions in Mathematics
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
7273736363-8
Determine the momentum of a 20 kg body traveling at 20 m/s.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
2x+4x=
reduce the expression (7.5x 12)÷0.3
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
89, ÷ 10
3.24 ÷ 82
Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0
2x2
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
Kaya deposits 25,000 into an account that earns 3% interest compounded monthly. How much does Kaya have in the account after 6 years 8 months? Round to the nearest cent. 32,912.50 30,000 29,923.71 30,527.45
In poker, a full house consists of five cards, where two of the cards have the same number (or letter) and the remaining three also have the same number (or letter) as each other (but not as the previous two cards). Use a search engine or Wikipedia to understand the concept better if necessary. In how many different ways can one obtain a full house?
-5x=115
2x-4=8
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

You might be interested in