Write annequivalent fraction by multiplying 2/3

1 answer:

3 0

$\bf \cfrac{2}{3}\cdot \cfrac{same}{same}\implies \stackrel{equivalent~fraction}{\cfrac{2(same)}{3(same)}}\qquad therefore\qquad \cfrac{2}{3}\cdot \cfrac{9}{9}\implies \stackrel{equivalent}{\cfrac{18}{27}}$

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the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$