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skelet666 [1.2K]

2 years ago

8

After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How

1 answer:

k0ka [10]2 years ago

6 0

There was 16 pieces of fruit

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How can you 83 x 57 estimate

Artemon [7]

Hey!

You can round 83 and 57 to the closest whole numbers:

80 × 60 = 4,800

So, now you know that your answer should be close to 4,800

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On a map, the distance between Hector's house and his

creativ13 [48]

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1 year ago

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2 years ago

Is she correct or incorrect Explain why she is correct or incorrect?

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3 years ago

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The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the

NeX [460]

Answer:

$\text{Smaller square's 15 inches, Bigger square's 18 inches}$

Step-by-step explanation:

GIVEN: The length of each side of a square is $3$ inches more than the length of each side of a small square. The sum of the areas of the square is $549$ inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be $\text{x}$

Area of small square $=(\text{side})^2=\text{x}^2$

As length of each side of bigger square is $3\text{ inches}$ more than the smaller square

length of side of bigger square $=\text{x}+3\text{ inches}$

Area of bigger square $=(\text{x+3})^2$

Also

Sum of areas of both square $=549\text{ inch}^2$

$(\text{x})^2+(\text{x+3})^2=549$

$2\text{x}^2+6\text{x}+9=549$

$\text{x}^2+3\text{x}-270=0$

$\text{x}=15,-18$

as the length of side can never be negative

$\text{x}=15$

length of side of smaller square $=15\text{ inches}$

length of side of bigger square $=\text{x}+3\text{ inches}$ $=18\text{ inches}$

Hence the length of smaller and bigger square are $15\text{ inches}$ and $18\text{ inches}$ respectively.

7 0

2 years ago