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
lisabon 2012 [21]
3 years ago
15

The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.

Mathematics
2 answers:
svlad2 [7]3 years ago
7 0

Answer:

The length is 18 Cm

The Width Is 6 Cm

Step-by-step explanation:

Write an equation

so perimeter is

2L+2W=P

In this case the perimeter is 48 and one side is 12 cm longer so let’s make the unknown side W, and L as 12+w since the longer side is 12cm longer then the unknown side.

Equation:

2(12+W)+2W=48

Combine like terms and solve the equation

24+4W=48 (I distributed then combined like terms)

Subtract 24 on both sides

4W=24

Isolate the variable by dividing 4 on both sides

W=6

Check:

2(12+6)+2(6)=48?

24+12+12=48✔️

natima [27]3 years ago
3 0
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48

Hope this helps:)
You might be interested in
Solve the following quadratic equation 3x²-8x+5=0<br>​
nekit [7.7K]

To solve this equation, let's factor the left side.

Although you can factor it in different ways, I will show you a trick.

First, forget about the 3 and we have x² - 8x + 5.

Now, multiply the 3 by the constant to get 15.

So we have x² - 8x + 15.

Now factor to get (x - 5)(x - 3).

Now divide each of the constants in the

binomials by the leading coefficient, 3.

So we have (x - 5/3)(x - 3/3).

Simplify to get (x - 5/3)(x - 1).

Now move any denominators in front of the x in the binomial.

Moving the 3 in front of the x, we have 3x.

So our answer is (3x - 5)(x - 1) = 0.

So either 3x - 5 = 0 or x - 1 = 0.

Solving from here, we get x = 5/3 or x = 1.

8 0
3 years ago
Use tape diagrams to calculate the solution of 30 = 5w. Then, check your answer.
Aleks04 [339]

Answer:

6

Step-by-step explanation:

<em>if</em><em> </em><em>30 = 5w</em>

then 30/5=w=6

<em>-</em><em>tape</em><em> </em><em>diagrams</em><em> </em><em>in</em><em> </em><em>picture-</em>

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%201%20%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B7x%20-%203%7D%7B2%7D%20" id="Tex
MAVERICK [17]

Answer:

\sf x =\dfrac{2}{3}

Explanation:

\sf \rightarrow \dfrac{x+1}{2} = \dfrac{7x-3}{2}

cross multiply

\sf \rightarrow 2(x+1) = 2(7x-3)

divide both sides by 2

\sf \rightarrow x + 1 = 7x-3

isolate variables

\sf \rightarrow x -7x = -3-1

simplify

\sf \rightarrow -6x = -4

divide both sides by -6

\sf \rightarrow \dfrac{-6x}{-6}  = \dfrac{-4}{-6}

simplify

\sf \rightarrow x =\dfrac{2}{3}

4 0
1 year ago
Read 2 more answers
Mary had 4 friends over to study for a test. Before her friende arrived, she baked 4 pies to share equally among her and her 4 f
ivolga24 [154]

Answer:

7/8

Step-by-step explanation:

3 1/2pies ÷ 4friends = ?

3 1/2 ÷ 4 = .875 (in decimal form)

.875 as a fraction = 7/8

each person will get 7/8 of a pie

5 0
3 years ago
Draw and label a figure that has four points two rays and one right angle
Assoli18 [71]
This figure has four points labeled, 2 rays which you can see labeled and one right angle. The rays are named Ray BA, and Ray BD, The right angle is angle ABD, or angle ABC. A ray has one and point and goes on forever in the other direction which is indicated with an arrow. A right angle measures 90°. You can potentially put any number of points on a line. Angles can also be named by the vertex.

3 0
3 years ago
Other questions:
  • Solve for x. Enter your answer below as an improper fraction in lowest terms, using the slash ( / ) as the fraction bar.
    7·2 answers
  • 60% of what number is 21
    7·2 answers
  • Ally has 7 connecting cubes. Greg has 4 connecting cubes. How many connecting cubes do they have?
    8·2 answers
  • A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w
    8·1 answer
  • Museum A charges an entrance fee of $8.00 and $2.25 per souvenir map. Museum B charges an entrance fee of $6.00 and $2.75 per so
    11·1 answer
  • a bus trip covers 191 km and takes 4 hours and 15 minutes, what is the average speed of the bus in kilometers per hour
    8·1 answer
  • A non-repeating, non-terminating decimal is a(n) ______________ number.
    11·1 answer
  • 1. You and 3 friends go out to Baskin and Robbins. Each buy ice cream for $5, a cookie = $3, and
    12·1 answer
  • How do you do this? <br> Find M
    11·1 answer
  • 2(4x + 1) - 3(5x - 1)<br> expand and simplify
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!