A rectangular garden has a walkway around it. The area of the garden is 4(2.5x+3.5) The combined area of the garden and the walkway is 4.5(4x+6) Find the area of the walkway around the garden as the sum of two terms.

Area of the walkway: 4.5(4x+6)  - 4(2.5x+3.5)

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Area of the garden: 4(2.5x+3.5)  

Combined area of the garden and the walkway: 4.5(4x+6)

Area of the walkway = A

So, the combined area of the garden and the walkway is equal to sum of both areas:

4(2.5x+3.5)+ A = 4.5(4x+6)

Solving for A:

A = 4.5(4x+6) - 4(2.5x+3.5)

Area of the walkway: 4.5(4x+6) - 4(2.5x+3.5)

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it