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
arsen [322]
3 years ago
6

You have two rectangles, rectangle ABCD and EFGH. The length of AB is x meters. The length of CD is 12 meters. The length of EF

is 16 meters. The length of FG is x - 2 meters. You want to find the value of x so that the rectangles have the same area.
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Let the area of the rectangle ABCD be denoted by A_1.

Therefore, A_1=x\times 12=12x........(Equation 1) [Reason: Area of any rectangle is the product of it's length and breadth]

Likewise, let the area of the rectangle EFGH be denoted by A_2

Therefore, A_2=16 \times (x-2)=16(x-2)=16x-32....(Equation 2) [Reason: Area of any rectangle is the product of it's length and breadth]

Since the area of the two rectangles are equal, we will have:

A_1=A_2

Therefore, equating the two equations (Equation 1 and Equation 2) we get:

12x=16x-32

12x-16x=-32

-4x=-32

x=\frac{-32}{-4}=8

Thus, the value of x such that the rectangles have the same area is <u>8 meters</u>.

You might be interested in
Slope of 0 3 and 4 1
attashe74 [19]

Answer:

m = \frac{-1}{2}

Step-by-step explanation:

The slope of (0,3) (4,1) =

\frac{-1}{2}

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Find the greatest common factor: 24y^8 + 6y^6
Marrrta [24]

Find the Greatest Common Factor (GCF)

<u>GCF = 6y^6</u>

Factor out the GCF. (Write the GCF first. Then, in parenthesis divide each term by the GCF.)

6y^6(24y^8/6y^6 + 6y^6/6y^6)

Simplify each term in parenthesis

<u>6y^6(4y^2 + 1)</u>

7 0
3 years ago
What is the value of x for the equation 2^5 ∙ 2^x = 2^8
netineya [11]

Answer:

x=3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 3/15 times 3/8 in fraction form?
bekas [8.4K]

Answer:

9/40

Step-by-step explanation:

3/5 * 3/8 = 9/40

5 0
3 years ago
X x 2 divided by 4 equals
fiasKO [112]

Answer:

I think it's 2x/4 (1x/2 if simplified). if it's multiple choice that's what I'd go with and if that answer is wrong then sorry

Step-by-step explanation:

x•2 is 2x because you don't know the value x and you still have to divide by four. when simplified, 2/4 is 1/2 so it'd be 1x/2

8 0
4 years ago
Other questions:
  • Which of the following would most likely measure about 4 meters ?
    5·1 answer
  • there can be at most 125 customers in a certain restaurant write an inequality that represents the numbers of costumers at the r
    12·1 answer
  • Which of the following is the same as 8.4 × 102 ?<br> a. 840<br> b. 84<br> c. 8,400<br> d. .84
    15·2 answers
  • Rachel plans to study 2 hours for her next exam how might plotting her
    10·1 answer
  • During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by
    14·1 answer
  • Write an equation that models the linear relationship in the graph?
    6·2 answers
  • HELP PLEASE! I need helpppp!! :(
    11·2 answers
  • A jacket is on sale for 40% off. The sale price is $90.00. What is the original amount of the jacket?
    12·2 answers
  • Based on the graph, what is the initial value of the linear relationship? (4 points)
    12·1 answer
  • What is the square root of 160
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!