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2 years ago

The area of a rectangular hotel room is 260 square feet. The perimeter is 66 feet. What are the dimensions of the room?

Mathematics

1 answer:

docker41 [41]2 years ago

8 0

Length + width = half the perimeter

66/2 = 33 feet

Length + width = 33 feet

List the factors of 260: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130 and 260.

Find the two factors that when added together equal 33:

13 + 20 = 33

The dimensions are 13 feet by 20 feet

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8_murik_8 [283]

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3 years ago

Divide £2400 into the ratio 5:7

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3 years ago

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3 0

3 years ago

Read 2 more answers

Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

4 0

3 years ago