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
jeka94
3 years ago
13

The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the recta

ngle.
Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0

Answer:

The length is 15 and the width is 10

Step-by-step explanation:

Let l = length

w = l-5

We know the area is 150

A = l*w

150 = l ( l-5)

150 = l^2 - 5l

Subtract 150 from each side

0 = l^2 - 5l - 150

Factor

0= ( l+10) ( l-15)

Using the zero product property

l+10 =0  l-15=0

l = -10    l = 15

Since we cannot have a negative length

l = 15

w = 15-5 = 10

The length is 15 and the width is 10

Romashka-Z-Leto [24]3 years ago
3 0

let the length and width of the rectangle be L and w

given:

w = L-5

Area = 150 sq inches

area of the rectangle = L*w

150 = L*(L-5)

150 = L squared -5l

L squared  - 150 = 0

L squared - 15L+10L -150 = 0

L(L-15)+10(L-15)= 0

(L+10)(L-15)=0

(L+10 )= 0 or (L-15) = 0

L = -10 is not possible as there wont be negative lengths

so L = 15

there fore w = L - 5 = 15 - 5 = 10

L = 15 in and w = 10 in

You might be interested in
The product of 7/8 and 9/10 is greater then 9/10
kati45 [8]
No the product will be less than 9/10.
This can be easily seen if the fractions are converted into decimals.
The decimal form of the product of 7/8 and 9/10 is 0.867 while the decimal form of 9/10 is 0.9. Therefore, the product of 7/8 and 9/10 is not greater than 9/10
3 0
3 years ago
Read 2 more answers
Find the area of this parallelogram, top= 14 left= 11 right = 10
Kamila [148]

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = 140 cm^{2}

4 0
2 years ago
What’s the value of x?
tatuchka [14]
We have a pair of vertical angles here. So they would equal each other.
3x+50=6x-10
Subtract 3x to 6x:
50=3x-10
Add 10 to 50:
60=3x
Divide 3 to both sides:
x=30
4 0
3 years ago
Read 2 more answers
Evaluate 20/y - 8/x + 3xy/x+y when x=2 and y=5
Lesechka [4]
20(5)-8(2)+3(2-5)+5
100-16-9= 79
6 0
3 years ago
What number is the next term in the number pattern? 1/10, 3/12, 7/14, 13/16, … Enter your answer in the box.
postnew [5]

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

3 0
3 years ago
Other questions:
  • What is the answer to 12.5 x n=32
    12·1 answer
  • What is the area of this figure?<br><br><br> 49.5 in²<br><br> 66.5 in²<br><br> 84 in²<br><br> 91 in²
    11·2 answers
  • I need help with math due tonight please help!!!!!
    7·2 answers
  • What are the intercepts of this line?
    11·2 answers
  • F(x)=-2x+4 when f(-3)
    6·1 answer
  • If P is the preimage Of a point, then it’s image after a dilation centered at the origin with the scale factor k is the point p
    15·1 answer
  • (09.01 LC))
    15·1 answer
  • Plzz helppp it's due today​
    13·2 answers
  • The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?
    5·1 answer
  • Determine the range of the following graph:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!