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Levart [38]
3 years ago
6

A rectangle has length that is 4 inches longer than its width. It’s perimeter is 36 inches. Which of the following is it’s area?

Mathematics
2 answers:
Scilla [17]3 years ago
5 0

Answer:

C. 77

Step-by-step explanation:

Let l be length and w be the width of the rectangle,

Thus, the perimeter of the rectangle = 2 ( length + width )

= 2 ( l + w )

According to the question,

l - w = 4 ⇒ l = 4 + w

Also, 2(l+w)=36

2(4 + w +w)=36

4 + 2 w = 18

2w = 14

⇒ w = 7

So, the width of the rectangle is 7 inches.

And, length = 4 + 7 = 11 inches

Thus, the area of the rectangle = length × width

= 11 × 7

= 77 in²

Option 'C' is correct.

Pepsi [2]3 years ago
4 0
Width= 7
Length= 11
Area: 11•7=77 (C)
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A geographer found that the land area of Aruba is 75 square miles and the land area of Bermuda is 19 square miles. Based on thes
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The interpretation of<em> </em><em>x</em> in the equation 75•x + 19•y = T, used by the geographer, based on the land area of Aruba, 75 m², and Bermuda, 19 m², is the population in a square mile of Aruba

<h3>Which method can be used to find the interpretation of <em>x </em>in the equation?</h3>

The land area of Aruba = 75 m²

Land area of Bermuda = 19 m²

The total number of residents is given in the question by the equation;

75•x + 19•y = T

Therefore;

x = The number of people in a square mile in Aruba

y = The number of people in a square mile in Bermuda

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6 0
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A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ar
kiruha [24]

Answer:

The pool can contain <u>4521.6 gallons</u> of water.

Step-by-step explanation:

Given:

The diameter of the cylindrical swimming pool = 16 feet.

And the height of the cylindrical swimming pool = 3 feet.

(1 ft³ = 7.5 gallons)

Now, to find the gallons of water the pool can contain.

So, we find the radius first:

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Height (h) = 3 feet.

Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):

Volume=\pi r^2h

Volume=3.14\times 8^2\times 3

Volume=3.14\times 64\times 3

Volume=602.88\ feet^3.

<em>Thus, getting the volume of pool 602.88 feet³.</em>

<em>As, given 1 ft³ = 7.5 gallons</em>.

Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:

602.88\times 7.5

=4521.6\ gallons.

Therefore, the pool can contain <u>4521.6 gallons</u> of water.

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