The combined area of two squares is 45 cm². each side of one square is twice as long as a side of the other square. what is the length of each side of the larger square?

6 cm

Step-by-step explanation:

Let the smaller square have side of x then the larger square has side 2x

Sum the areas of the 2 squares and equate to 45

x² + (2x)² = 45

x² + 4x² = 45

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = = 3

side of smaller square = 3 cm

side of larger square = 2 × 3 = 6 cm

check : 3² + 6² = 9 + 36 = 45 cm² ← correct

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

c

step-by-step explanation: