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2 years ago

The base length of a parallelogram is multiplied by 5. Which of the following describes the effect of this change on the area?

Mathematics

1 answer:

rodikova [14]2 years ago

3 0

If the height is kept the same, then the area is multiplied by 5.

For example, let's say we had a parallelogram with the properties of:

base = 2
height = 3

The area would be base*height = 2*3 = 6 square units.

If we kept the height at 3 units, but multiplied the base by 5, then the base is now 2*5 = 10. The new area is base*height = 10*3 = 30 which is exactly 5 times larger than the old area

new area = 5*(old area)

new area = 5*(6)

new area = 30 square units

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3 years ago

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2 years ago

The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

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Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

$3(7x) = 4(x)+7$

$3(7x) = 4x+7$

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Now we have to move 4x to the left side by subtracting 4x from both sides.

$21x-4x = 4x-4x+7$

$21x-4x = 7$

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To get x, we will divide both sides by 17. We will get,

$\frac{17x}{17} = \frac{7}{17}$

$x = \frac{7}{17}$

So the smaller number = $\frac{7}{17}$

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So we have got the required numbers.

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3 years ago