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gogolik [260]
3 years ago
9

The perimeter of a rectangle is 26 m. the length is 4 m more than two times the width. Find the length and the width of the rect

angle.
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
  • Length: 2x + 4
  • Width: x

Make 2(length) + 2(width) add up to 26 in an equation.

2(2x + 4) + 2(x) = 26

  • Distribute 2 inside the parentheses.

4x + 8 + 2x = 26

  • Combine like terms.

6x + 8 = 26

  • Subtract 8 from both sides.

6x = 18

  • Divide both sides by 6.

x = 3

  • Plug 3 for x into the length and width.

Length: 2(3) + 4 = 10 m

Width: (3) = 3 m

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For second answer how do you get it plz urgent plz
inna [77]

Step-by-step explanation:

Complete question is attached.

Answer:

a) ED = 6.5 cm

b) BE = 14.4 cm

Step-by-step explanation:

From the triangle, we are given the following dimensions:

AB = 20 cm

BC = 5 cm

CD = 18 cm

AE = 26 cm

We are asked to find length of sides ED and BE.

a) Find length of ED.

From the triangle Let's use the equation:

\frac{AB}{BC} = \frac{AE}{ED}BCAB=EDAE

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

ED = \frac{AE * BC}{AB}ED=ABAE∗BC

Let's substitute figures,

ED = \frac{26 * 5}{20}ED=2026∗5

ED = \frac{130}{20} = 6.5ED=20130=6.5

Therefore, length of ED is 6.5 cm.

b) To find length of BE, let's use the equation:

\frac{AB}{AC} = \frac{BE}{CD}ACAB=CDBE

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

BE = \frac{AB * CD}{AC}BE=ACAB∗CD

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

BE = \frac{20 * 18}{25}BE=2520∗18

BE = \frac{360}{25} = 14.4BE=25360=14.4

Therefore, length Of BE is 14.4cm

I JUST SO THAT IN INTERNET:)

4 0
3 years ago
Yolanda is buying supplies for school. She buys n package of pencils at $1.40 per package and m pads of paper at $1.20 each. Wha
Oxana [17]
1.4n represents the price and number of packages of pencils. 1.2m represents the number of paper pads and the price
6 0
3 years ago
What is<br> -1 5/6 - (-3 1/4) ?
lions [1.4K]

Answer:

1\frac{5}{12}

Step-by-step explanation:

Eliminating a negative and changing our operation

1\frac{5}{6} +3\frac{1}{4}

Rewriting our equation with parts separated

-1-\frac{5}{6} +3+\frac{1}{4}

Solving the whole number parts

-1+3=2

Solving the fraction parts

-\frac{5}{6} +\frac{1}{4} =[?]

Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.

LCD = 12

-\frac{10}{12} +\frac{3}{12}=-\frac{7}{12}

Combining the whole and fraction parts

2-\frac{7}{12} =1\frac{5}{12}

[RevyBreeze]

8 0
2 years ago
Which factors of -12 add to -1?
beks73 [17]

Answer:

-4 and 3

Step-by-step explanation:

4 0
3 years ago
If 6 cubes with an edge length of 14 can fit the height of the prism, what is the height of the prism? Enter the missing part of
Paha777 [63]

Answer: 84\ \text{units}

Step-by-step explanation:

Given

The length of each cube is a=14\ \text{units}

If there are 6 cubes placed over each other, then the height achieved by the cubes is

\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}

7 0
2 years ago
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