All categories

2 years ago

A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X

Mathematics

1 answer:

Fiesta28 [93]2 years ago

3 0

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²

You might be interested in

(8a+5b−3)+3(b−3) Simplify

Naddika [18.5K]

Answer: 8a+8b−12

Step-by-step explanation: 8a+5b−3+3(b−3)

=8a+5b+−3+(3)(b)+(3)(−3)

=8a+5b+−3+3b+−9

=(8a)+(5b+3b)+(−3+−9)

=8a+8b+−12

5 0

2 years ago

Read 2 more answers

Jackson and derek have a lemonade stand. They sell lemonade in 12oz cups. They are hoping to sell at least 50 cups of lemonade.

siniylev [52]

To fill 50 12-fl oz cups, you need 50 * 12 fl oz = 600 fl oz

There are 128 fl oz in a gallon

600/128 = 4.6875

600 fl oz = 4.6875 gallons

600 fl oz is under 5 gallons, so 5 gallons is enough.

1 qt = 32 fl oz

17 qt = 17 * 32 fl oz = 544 fl oz

17 quarts is 544 fl oz, which is under the needed 600 fl oz, so 17 quarts is not enough.

Answer: 5 gallons

5 0

3 years ago

If 80% of a number is 20, what is 20% of the number?

Vlad1618 [11]

Answer: 5

Step-by-step explanation:

20/4=5 which is 20%

5*5=25 which is the number

20% of the number is

100/20=5

25/5=5

5 0

2 years ago

Please answer this correctly

elena-s [515]

Answer:

Step-by-step explanation:

If these two shapes are similar, then ratios of corresponding sides will stay constant. Therefore:

$\dfrac{g}{45}=\dfrac{50}{75}$

Multiply both sides by 45:

$g=\dfrac{50\cdot 45}{75}=30$

Hope this helps!

8 0

3 years ago

Part F Think about graphing the relationship between the length of the TV screen and the price. What do you predict the graph wi

irakobra [83]

Answer:

should be pretty similar to how a parabola looks

Step-by-step explanation:

as the length increases the area gets huge fast

5 0

3 years ago