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nadezda [96]
3 years ago
9

Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two

rooms. A. 5m square and 8m square B. 4m square and 6m square C. 5m square and 12m square D. 6m square and 8m square
Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

A

Step-by-step explanation:

Let the smaller room have an area of x^2

Let the larger room have an area of (x + 3)^2

(x+3) ^2 + x^2 = 89               Be careful not to make it 89^2.

x^2 + 6x + 9 + x^2 = 89        Expand the binomial squared

2x^2 + 6x + 9 - 89 = 0          Subtract 89 from both sides

2x^2 + 6x + 9 - 89 = 0          Combine

2x^2 + 6x - 90=0                  Divide by 2

x^2 + 3x - 45 = 0         This factors.

(x + 9)(x- 5) = 0

X + 9 gives nothing useful

x - 5 = 0

x = 5

x + 3 = 5+3 = 8

So the answer is A

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suppose the function g determines the perimeter of the rectangle (in inches) given a number of seconds, t , since the rectangle
jasenka [17]

the perimeter of a rectangle is equal to 2L + 2W.

the perimeter of the rectangle is represented by P.

P = 2L + 2W

when W is fixed at 8, the perimeter of the rectangle becomes P = 2L + 16

A)Write a formula that expresses the length of the rectangle in inches, l, in terms of the number of seconds t since the rectangle began growing.

time in seconds is represented by T.

the length of the rectangle increases by 2.4 inches every second.

L = 2.4 * T

B)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the length of the rectangle in inches, l.

P = 2L + 16

C)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the number of seconds t since the rectangle began growing.

P = 2 * 2.4 * T + 16 which becomes P = 4.8 * T + 16

D)Suppose the function g determines the perimeter of the rectangle in inches given a number of seconds t since the rectangle started growing. Write a function formula for g.

g(T) = 4.8 * T + 16

when T = 0, the perimeter of the rectangle is equal to 0 + 16 = 16.

when T = 1, the perimeter of the rectangle is equal to 4.8 + 16 = 20.8.

when T = 2, the perimeter of the rectangle is equal to 9.6 + 16 = 25.6.

etc...

keep in mind that the formula for the perimeter of the rectangleis P = 2 * L + 2 * W.

W is always 8, so the formula becomes P = 2 * L + 16.

L is equal to 2.4 * T, so the formula becomes P = 2 * 2.4 * T + 16.

after simplification, the formula becomes P = 2.8 * T + 16.

the complete question is

A rectangle has a fixed width of 8 inches and a length of 0 inches. The length of the rectangle then begins increasing at 2.4 inches per second.

A)Write a formula that expresses the length of the rectangle in inches, l, in terms of the number of seconds t since the rectangle began growing.

B)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the length of the rectangle in inches, l.

C)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the number of seconds t since the rectangle began growing.

D)Suppose the function g determines the perimeter of the rectangle in inches given a number of seconds t since the rectangle started growing. Write a function formula for g.

learn more of perimeter here brainly.com/question/14128446

#SPJ4

7 0
1 year ago
The triangle has an area of 7-7/8 cm² and a base of 5-1/4 cm. What is the length of h? Explain your reasoning.
navik [9.2K]

Answer:

3

Step-by-step explanation:

The equation for the area of a triangle is A=1/2(b)(h)

we have the area and the base, so we plug those values in resulting in 7 7/8=1/2(5 1/4)(h)

From there, we solve. Multiply 5 1/4 by 0.5, resulting in 2.625

then, you divide 7 7/8 by 2.625 and you get 3.

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Galina-37 [17]

Answer:

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Step-by-step explanation:

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bixtya [17]

Answer:

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Step-by-step explanation:

5 0
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