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notsponge [240]

3 years ago

11

In Australia the size of a typical home has increased from 220m to 245m over the past 10 years. Find the ratio of house area tod

ay compared to 10 years ago.

1 answer:

vlada-n [284]3 years ago

3 0

220:245 or it can be simplified to 44:49

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

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Mandy made a graph to show the relationship between the number of Fun-Fair prizes purchased and the total cost of the prizes.Whi

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Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith h

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Answer:

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300 Multiply both sides by 300

180*300/200 = x Multiply the numerator together.

54000/200 = x Do the division

270 = x

Smith will have turned out 270 relays.

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Please help if you can. Thank you

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