Two squares are drawn. the smaller square has an area of 256 square meters. the areas of the two squares have a ratio of 4: 9.what is the side length s of the larger square.

side length of larger square = 24 meters

Step-by-step explanation:

the smaller square has an area of 256 square meters. the areas of the two squares have a ratio of 4:9

Area of smaller square to larger square ratio is 4:9

Let 'area' be the area of larger square

Lets make a proportion using the given ratio and area of smaller square

cross multiply it

4 area = 256  times 9

Divide both sides by 4

Area of larger square = 576 square meters

Are of square is (side )^2

Take square root on both sides

side = 24

side length of larger square = 24 meters

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.