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Tasya [4]
3 years ago
15

Given the rectangles perimeter, find the unknown side lengths.

Mathematics
1 answer:
Dominik [7]3 years ago
3 0

The perimeter is just adding all the sides together.

a.) 180 = 40 + 40 + x + x

180 = 80 + 2x Subtract 80 on both sides

100 = 2x Take 1/2 of 100 to get x

x= 50cm


b.) 1000 = 150 + 150 + x + x

1000 = 300 + 2x Subtract 300 on both sides

700 = 2x Take 1/2 of 700 to get x

x = 350

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Angela likes to use two walking sticks when she goes hiking but the two walking sticks she has been giving wrestling are differe
Mazyrski [523]
Given:
long stick: 3 4/5 feet
short stick: 3 1/2 feet

convert mix fractions into improper fractions:

3 4/5 = (3*5)+4/5 = 19/5  long stick
3 1/2 = (3*2)+1/2 = 7/2  short stick

19/5 - 7/2 ⇒ (19/5 * 2/2) - (7/2 * 5/5) = 38/10 - 35/10 = (38 - 35)/10 = 3/10

3/10 feet should be cut from the longer stick so that the two walking sticks will be the same length.

3 4/5 ft = 45.6 inches  long stick
3 1/2 ft = 42 inches   short stick
3/10 ft = 3.6 inches  to be cut from long stick

45.6 inches - 3.6 inches = 42 inches


5 0
3 years ago
if the length of a rectangle is decreased by 2cm and the width is increased by 6 cm the result will be a square the area of this
Nastasia [14]

The area of the rectangle is 105 square cm

<h3>How to determine the rectangle area?</h3>

Represent the dimensions of the rectangle with x and y

So, the length of the square would be:

Length = x - 2

Width = y + 6

The areas are then calculated as:

Rectangle = xy

Square = (x -2)(y + 6)

The relationship between the areas is:

(x -2)(y + 6) = 64 + xy

Expand

xy + 6x - 2y - 12 = 64 + xy

This gives

6x - 2y - 12 = 64

Add 12 to both sides

6x - 2y= 76

Divide through by 2

3x - y = 38

By trial by error, we have:

x = 15 and y = 7

The rectangle area is then calculated as:

Rectangle = xy

This gives

Rectangle = 15 * 7

Evaluate

Rectangle = 105

Hence, the area of the rectangle is 105 square cm

Read more about areas at:

brainly.com/question/27683633

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8 0
2 years ago
List all the factors of 40
densk [106]
The foctor of 40 I this = 1,2,4,5,8,40
3 0
3 years ago
Complete the table. Explain how the Output number is related to the Input number.
krok68 [10]

9514 1404 393

Answer:

  output: 24, 25, 26, 27, 28

Step-by-step explanation:

The output expression tells you that the output is 23 more than the input.

  1 + 23 = 24

  2 + 23 = 25

  3 + 23 = 26

  4 + 23 = 27

  5 + 23 = 28

The table values are ...

5 0
3 years ago
Harry has 20 sweets. He gives 7 of the sweets to Nadia. What fraction of the 20 sweets does Harry have now?
olganol [36]

Answer: 13

Step-by-step explanation:

1. Harry has 20/20 sweets

2. Nadia takes 7/20 sweets

3. Your left with 13/20

3 0
4 years ago
Read 2 more answers
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