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dimaraw [331]
3 years ago
5

Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer.....15ft by 12ft

Explanation:

Area = Length × Width

180 = LW....make W the subject of formula

;W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2(180/L)...sub W with the formula above...

then simplify the equation and obtain...

2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..

;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...

where W = 180/15 = 12ft

there you have...Length = 15ft and Width = 12ft

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Factorise fully 6x^2 + 12x
sweet-ann [11.9K]

Answer:

6x(x+2)

Step-by-step explanation:

Factor 6x out of 6x^2+12x

6x(x+2)

3 0
3 years ago
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the
Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0
3 years ago
Read 2 more answers
YALL HURRYY I NED HELP!
elena-s [515]

Answer:

A = correct equation

x = 60

Step-by-step explanation:

__+ 65 = 125

x + 65 = 125

x = 60

60 + 65 = 125

Hope it helps!

3 0
3 years ago
Hurry please...
Eva8 [605]

Answer:

initial value=2

rate of change=1

Step-by-step explanation:

rate of change=(3-2)/(1-0)=1

7 0
3 years ago
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murzikaleks [220]

Answer:

5

Step-by-step explanation:

There are 5 domains

3 0
3 years ago
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