The area of a rectangle is 45 cm2. two squares are constructed such that two adjacent sides of the rectangle are each also the side of one of the squares. the combined area of the two squares is 106 cm². find the lengths of the sides of the squares.

5 cm and 9 cm

Step-by-step explanation:

If the two squares are x and y, then

xy = 45

x^2 + y^2 = 106

so,

x^2 + (45/x)^2 = 106

x^2 + 2025/x^2 = 106

x^4 - 106x^2 + 2025 = 0

(x^2-25)(x^2-81) = 0

x^2 = 25 and 81

x = 5 and 9

yep, 5*9 = 45

i think c. but don't trust it.

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!