1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
1 year ago
9

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ctangle
Mathematics
1 answer:
ch4aika [34]1 year ago
6 0

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

L=W+3

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

You might be interested in
Three houses are mapped on a coordinate grid. Joshs house is located on red street at (-5,-4). Sarah’s House is located on green
vlada-n [284]

Answer: 90

Step-by-step explanation:

5 0
3 years ago
Which best describes this quadrilateral?
Vinil7 [7]
The answer to your question is B.Opposite sides are parallel.
4 0
3 years ago
Read 2 more answers
The ratio of girls to boys in art class is 4:5 if there are 32 girls how many boys are there?
dem82 [27]

Answer:

there are 40 boys

Step-by-step explanation:

32/4=8      5*8=40

8 0
3 years ago
Find the slope of the line that passes through (6, 2) and (10,3).
weeeeeb [17]

Answer:

D

Step-by-step explanation:

Firstly,you must divide (6,2) to (x¹y¹).After that,you must divide (10,3) to (x²y²).Then you must substract (y²-y¹,x²-x¹).It will be like this (3-2,10-6).So the correct answer is 1,4 (D).Hope you will understand!

4 0
2 years ago
Read 2 more answers
PLS HELP!
ale4655 [162]

Answer:

p is a missing part okay

6 0
3 years ago
Other questions:
  • A polynomial of degree zero is a constant term.<br><br> A. True<br> B. False
    11·1 answer
  • What is the sine ratio of angle E?<br><br> A - 5/3<br> B - 3/5<br> C - 5/4<br> D - 4/5
    5·2 answers
  • PERSON 1 IS BOWLING WITH HIS FRIENDS IT COSTS $12DOLLERS FOR 10 PAIRS OF SHOES 25 PEOPLE WERE BOWLING HOW MUCH WOULD IT COST PER
    5·1 answer
  • Please help I need answers. zoom in if you can't see it
    9·2 answers
  • Write the number 0.5 in the form a/b , using integers to show that it is a rational number ?
    14·1 answer
  • If 15 counters is a whole set what is 3/5 of set?
    12·2 answers
  • Find the slope of the line that passes through the points (-12,-5)(0,-8) enter your answer as a fraction with no spaces
    6·2 answers
  • Ms andrew made a line plots below to compare the quiz score for her first period math class and her second -period math class. s
    8·2 answers
  • Lauren paid $16.74 for sliced turkey at the deli counter. The turkey cost $6.20 per pound. How much turkey did Lauren buy? Round
    8·1 answer
  • Complete the solution of the equation. Find the value of Y when X equals 5. X-5y=45
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!