The length of a rectangle is 7 inches less than its width. The perimeter of the rectangle is 54 inches. Find the length and the width of the rectangle. Explain your
reasoning.

8 in.

Step-by-step explanation:

Perimeter of a rectangle, P = 2(L + W)

Value of P = 46.

Length is 7 inches less than the width.  This translates to L = W - 7

Substitute L = W - 7 into the perimeter equation, you get

46 = 2(W - 7 + W)

46 = 2(2W - 7)

46 = 4W - 14

4W = 60

W = 60 / 4 = 15 in

L = W - 7 = 15 - 7 = 8 in

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