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3 years ago

15

A rectangular sandbox has a width that's 1⁄4 of its length. The total area of the sandbox is 36 square feet. Find the dimensions

of the sandbox

1 answer:

lutik1710 [3]3 years ago

6 0

Answer:

Dimensions of box

Length is 12 feet

Width is 3 feet

Step-by-step explanation:

Let's assume length of sandbox is L

width of box is W

we are given

A rectangular sandbox has a width that's 1⁄4 of its length

so, we can write as

$W=\frac{1}{4}L$

we know that

area = length*width

so, we get

$A=L\times W$

now, we can plug back W

$A=L\times \frac{1}{4}L$

we can set Area=36

$36=L\times \frac{1}{4}L$

now, we can solve for L

$L^2=144$

$L=12$

now, we can find W

$W=\frac{1}{4}\times 12$

$W=3$

So, dimensions of box

Length is 12 feet

Width is 3 feet

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Answer:

the possible combinations of $5 and $10 gift cards your club can purchase are :

eight $5 gift cards and twelve $10 gift cards

nine $5 gift cards and eleven $10 gift cards

or ten each of $5 gift cards and $10 gift cards

Step-by-step explanation:

From the information given:

You plan to buy a combination of $5 and $10 gift cards

You plan to buy exactly 20 gift cards and want to spend between $150 and $160.

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Let assume the g is the number of the $5 gift cards bought;

then (20 - g) will be the number of the $10 gift card bought.

Thus; the compound inequality for the amount spent between $150 and $160 will be:

= 150 ≤ 5g + 10(20 - g) ≤ 160

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= 150 ≤ 5g -10 g + 200 ≤ 160

= 150 ≤ -5g + 200 ≤ 160

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Thus; the possible combinations of $5 and $10 gift cards your club can purchase are :

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Answer with Step-by-step explanation:

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