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
Only find the vertex and axis of symmetry
lara [203]

Answer:

vertex (5,2)

axis of symmetry: x=5

Step-by-step explanation:

vertex (h,k)

y = a(x - h)² + k

f(x)=(x-5)²+2        a = 1     h = 5      k = 2

vertex (5 , 2)

The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

x = 5

5 0
2 years ago
Boris choos three diffrent numbers.the sum of the three numbers is 36.One of trh numbers is a cube number.the other two number a
inna [77]

Answer:

4,5,27

Problem:

Boris chose three different numbers.

The sum of the three numbers is 36.

One of the numbers is a perfect cube.

The other two numbers are factors of 20.

Step-by-step explanation:

Let's pretend those numbers are:

a,b, \text{ and } c.

We are given the sum is 36: a+b+c=36.

One of our numbers is a perfect cube. a=n^3 where n is an integer.

The other two numbers are factors of 20. bk=20 and ci=20 where a,c,i, \text{ and } k \text{ are integers}.

n^3+\frac{20}{k}+\frac{20}{i}=36

From here I would just try to find numbers that satisfy the conditions using trial and error.

3^3+\frac{20}{2}+\frac{20}{2}

27+10+10

47

3^3+\frac{20}{4}+\frac{20}{5}

27+5+4

36

So I have found a triple that works:

27,5,4

The numbers in ascending order is:

4,5,27

4 0
3 years ago
Which survey question will produce discrete data? Select all that apply.
just olya [345]

What is your gender

Are you married

8 0
3 years ago
Read 2 more answers
Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).​
Len [333]

Step-by-step explanation:

1) if (0;0) if point A, (1;2) is point B; (-1;-2) is C, (2;1) is D, then

2) the vector AB is (1;2); vector AC is (-1;-2) and vector AD is (2;1), then

3) the length of AB, AC and AD are:

|AB|=\sqrt{1^2+2^2}=\sqrt{5};

|AC|=\sqrt{(-1)^2+(-2)^2}=\sqrt{5};

|AD|=\sqrt{2^2+1^2}=\sqrt{5}.

4) if the lengths above are equal, then it means that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

3 0
2 years ago
Combine like terms and solve: 17x - 3x +8 *
Zolol [24]

Answer:

14x+8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Jasmine works in Lower Beauvale and arrives at the station at 5.20 p.m. If she catches the next available train to Common Top, w
    6·2 answers
  • Amanda has 15 coins in her pocket. Of these, 8 are quarter. What is ratio of quarters to coins in Amanda's pocket?i
    15·2 answers
  • Please, help im being timed !!!
    15·1 answer
  • If a(n)=24 which recursive formula could represent the sequence below? <br> ...,24,88,664,8408,...
    5·1 answer
  • What are the solutions of the equation (x - 6) (x - 8) =8
    12·1 answer
  • What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
    13·1 answer
  • If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
    8·1 answer
  • (5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
    13·1 answer
  • Which expresion is equivalent to -5 -(-7)?<br> HURRY 20 POINTS
    14·1 answer
  • A cone has a volume of 60 cubic feet. If the radius is 2 feet,'what is the height of the cone?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!