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
seraphim [82]
3 years ago
9

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

rectangle?
Mathematics
1 answer:
frez [133]3 years ago
5 0

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

You might be interested in
What is the product of the binomials below? (D+1)(d-2)(d+3)
maxonik [38]
The answer is d^3 - 6
7 0
2 years ago
A curtain company has 1,787 yards of fabric to make identical curtains. If each curtain requires 6.5 yards of fabric, how many c
zysi [14]

Answer:

D. 274

Step-by-step explanation:

divide 1787 by 6.5 yds to get the answer, 274.

3 0
3 years ago
In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle
ipn [44]

Answer:

the side XY

Step-by-step explanation:

we know 2 angles in a triangle. but are 45 degrees.

that means the third angle Z is 180-45-45 = 90 degrees.

the side opposite of the largest angle is the longest side.

opposite of Z is the side XY.

6 0
2 years ago
Find all the zeros of the polynomial function. f(x)=x^4+62^2+128x+65 I want to find the zeros of the polynomial function
IgorC [24]
Snsnnsnsndndpjsjdjsndnndd
5 0
2 years ago
A pool in the shape of a rectangle prism is being filled with water. The length and width is 24 feet and 15 feet. If the hight o
hram777 [196]

Check the picture below.

\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=24\\ w=15\\ h=1\frac{1}{3} \end{cases}\implies V=(24)(15)(1\frac{1}{3})\implies \stackrel{in~ft^3}{V}=(24)(15)(\frac{4}{3}) \\\\\\ \stackrel{\textit{converting all feet to inches}}{\stackrel{in~in^3}{V}=(24\cdot 12)(15\cdot 12)(\frac{4}{3}\cdot 12)}\implies V=(288)(180)(16)\implies V=\stackrel{in^3}{829440}

7 0
2 years ago
Other questions:
  • An angle measures 31° . what is the measure of its complement?
    10·1 answer
  • Find the exact value. cos150°
    8·2 answers
  • Solve for x and y: x=5−2y 6y=10−3x
    7·1 answer
  • The diagram shows two shapes<br>drawn on a centimetre grid.<br>a) Find the area of shape P.<br>​
    11·1 answer
  • 2020-2021 T-Math-Alg1-T1and2-CBT.: Section 2 - Calculator Section Question: 2-4
    11·1 answer
  • Are there any prime numbers that have a difference of 3
    9·2 answers
  • Travis is making a pattern with triangle tiles. Each side of a triangle is 3 inches long. What is the perimeter when the pattern
    9·1 answer
  • What is the value of x? Please explain how you got to this answer so I can answer similar questions.
    6·1 answer
  • X/5 - 12 = -8 x=? what​
    9·1 answer
  • Find the formula please
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!