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3 years ago

The length of a rectangle is 5cm greater than its width. The perimeter is 58. What are the dimensions of the rectangle

2 answers:

7 0

Perimeter= 2w+2l
l=w+5

Substitute for l
p= 2w+2(w+5)
p= 2w+2w+10
p= 4w+10
58=4w+10
48=4w
12= w

Plug in the width to find length.
l= 12+5
l=17

Final answer: Length-17 cm, Width-12 cm

Anuta_ua [19.1K]3 years ago

3 0

Write two equations:
l + w = 58
l + 5 = w
substitute and solve
l + l + 5 = 58
2l = 53
l=26.5
w=31.5
26.5cm x 31.5cm

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3 years ago

Today everything in a store is for sale. THe store offers a 30% discount. The regualar price for a T-shirt is 18$. What is the d

Serggg [28]

Answer:

12.60

Step-by-step explanation:

Start off by the total which is 18. To find the percentage off you will have to make the 30% into a decimal, so simply move it two spaces to the left. Now you have .30. Multiply the decimal, .30, and the full amount, 18. Your equation now should be (.30)*(18). Your answer will be 5.40. 5.40 is what is off of the shirt from the original price, so subtract 5.40 from 18. Your equation now is (18-5.40) which is 12.60.

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3 years ago

Complete the page for 15 points.

sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

So the answer is 15, 16, 17

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

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x=23

The numbers are 21, 23, and 25

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

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The numbers are 44, 46, and 48.

x will be the middle number.

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3 years ago

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the

gizmo_the_mogwai [7]

Answer:

Width = 6.5 inches

Length = 10.5 inches

Step-by-step explanation:

Let

"l" be length of rectangle

and

"w" be width of rectangle

Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:

l = 4 + w

The perimeter is sum of all sides, so

Perimeter = l + l + w + w = 2l + 2w

The perimeter is 34, so we can write:

2l + 2w = 34

Putting 1st equation in 2nd, we get equation in "w" and solve for this first:

$2l + 2w = 34\\2(4+w) + 2w = 34\\8+2w+2w=34\\4w=26\\w=\frac{26}{4}=6.5$

Width is 6.5 in

Now, l = 4 + w, so

l = 4 + 6.5 = 10.5

Length is 10.5 in

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Dima020 [189]

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3 years ago