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
olasank [31]
3 years ago
8

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

.
Mathematics
1 answer:
salantis [7]3 years ago
6 0

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

You might be interested in
What’s the answer to -7(x-4) =63
choli [55]

-7(x-4) = 63. Divide each side by -7.

x - 4 = -9. Add 4 to each side.

x = -5

3 0
3 years ago
Read 2 more answers
6 [ 13 - 2 ( 4 + 1 ) ] simply step by step
sp2606 [1]

Answer:

18

Step-by-step explanation:

6(13 - 2(4 + 1)) \\ 6(13 - 2 \times 5) \\ 6(13 - 10) \\ 6 \times 3 \\  = 18

4 0
3 years ago
Read 2 more answers
Solve for x.<br> 3.3x = 29.04<br> es<br> A)<br> 8.0<br> B)<br> 8.2<br> .<br> 8.6<br> D)<br> 8.8
LenKa [72]

Answer:

The answer is D

Step-by-step explanation:

I just used an algebra calculator

5 0
3 years ago
Harlow can bicycle at a rate of 18 miles per hour.How many hours would it take him to bicycle a stretch mark of road that is 450
FromTheMoon [43]

Answer:

8100 Hours

Step-by-step explanation:

We all have heard of miles per hour, so just plug that formula into the question!

Ex. 18 miles PER HOUR x 450 MILES = 8100 hours

Hope this helps!

6 0
3 years ago
Als 3. Determine ir 12:16 and<br> d 72:96 are equivalent ratios.
Gnoma [55]

Answer:

YES

Step-by-step explanation:

I'll start with 72/12

= 6

6 is does not have any decimals,

Therefore YES

5 0
2 years ago
Other questions:
  • Find the value of x. A.180 B. 88 C. 92 D. 2 <br><br> Please help
    6·2 answers
  • Find the solution to the system of equations
    12·1 answer
  • Jessica earn some money for completing chores.She spent 1/6 of it on snacks and 1/3 of it on a book.She saved the rest.What frac
    11·1 answer
  • What are statements that are true for any number?
    5·1 answer
  • What are two different names for this line
    9·1 answer
  • Solve for x in the following equation: -4+6x=8 <br> A. x=-2<br> B. x=4<br> C. x=2<br> D. x=-6
    8·2 answers
  • Find the slope of the line -2,-6 and -4,8
    10·2 answers
  • Write the equation for a line with a slope of 2 that passes through the point (1,4)
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=9%20-%203%20%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%2B%201" id="TexFormula1" title="9 - 3
    10·1 answer
  • Solve sin x = cos x on the closed interval [pi, 3pi/2].​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!