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
Verizon [17]
3 years ago
5

The area of a room is 396 square feet. The length is (x + 8) feet and the width is (x + 4) feet. Find the dimensions of the room

.
You only need to find the length and width.
Mathematics
2 answers:
Pepsi [2]3 years ago
5 0

Answer:

Area of rectangle (A) is given by:

A = lw

where, l is the length and w is the width of the rectangle.

As per the statement:

The area of a room is 396 square feet.

The length is (x + 8) feet and the width is (x + 4) feet.

⇒A = 396 square feet , l = (x+8) feet and w = (x+4) feet

Substitute these given values we have;

396 = (x+8)(x+4)

⇒396 = x^2+4x+8x+32

Combine like terms;

⇒396 = x^2+12x+32

Subtract 32 from both sides we have;

364 = x^2+12x

or

x^2+12x-364 =0

⇒x^2+26x-14x-364 = 0

⇒x(x+26)-14(x+26)=0

⇒(x+26)(x-14) = 0

By zero product property we have;

x+26 = 0 or x-14 = 0

⇒x = -26 and x = 14

Since, side cannot be in negative.

⇒x = 14

then;

l = x+8 = 14+8 = 22 feet

w = x+4 = 14+4 = 18 feet

Therefore, the dimensions of the room are:

l = 22 feet and w = 18 feet

alisha [4.7K]3 years ago
3 0
L:18ft
W:22ft
Hope it helps
You might be interested in
(3,-7) and (9,-5)<br> What is the equation
spin [16.1K]

Answer:

y=1/3x-8

Step-by-step explanation:

let me know if not clear

6 0
3 years ago
What is the measure of the third angle in the similar triangles below?
pashok25 [27]

Answer:

65°

Step-by-step explanation:

All triangles equal 180 degrees. So just subtract the other values.

3 0
3 years ago
Read 2 more answers
54 ÷ (−6)<br><br><br> A. 9<br><br> B. -9<br><br> C. -8
sp2606 [1]

Answer:

Option B, -9

Hope this helps!

6 0
3 years ago
I need help with math homework #2 algebra
OverLord2011 [107]

Answer:

A. (0, -2) and (4, 1)

B. Slope (m) = ¾

C. y - 1 = ¾(x - 4)

D. y = ¾x - 2

E. -¾x + y = -2

Step-by-step explanation:

A. Two points on the line from the graph are: (0, -2) and (4, 1)

B. The slope can be calculated using two points, (0, -2) and (4, 1):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4}

Slope (m) = ¾

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).

Thus:

y - 1 = ¾(x - 4)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 1 = ¾(x - 4)

4(y - 1) = 3(x - 4)

4y - 4 = 3x - 12

4y = 3x - 12 + 4

4y = 3x - 8

y = ¾x - 8/4

y = ¾x - 2

E. Convert the equation in (D) to standard form:

y = ¾x - 2

-¾x + y = -2

8 0
3 years ago
How may pound is 1 ton
SVETLANKA909090 [29]
2,000 IBs (pounds) are in a ton.
3 0
3 years ago
Read 2 more answers
Other questions:
  • What’s is the area of a square that has the side length of 4 square root 5
    15·1 answer
  • What is 20 divided by 35 as a fraction
    10·2 answers
  • 12.
    14·1 answer
  • Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x + 3 x − 3
    13·1 answer
  • Pleaseplease help me
    8·1 answer
  • 2y + 14x - 7x + 9y ​
    11·2 answers
  • Help help help on marhswatch please help!!
    15·1 answer
  • 647-574 I need help with carrying numbers
    7·1 answer
  • If a1 = 3 and an = (an-1)^2+4 then find the value of a4
    10·1 answer
  • Anne, Bridget, and Sasha shared a sum of money. Anne took 1/3 of the total amount, and Bridget took 1/4 of the remaining money.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!