Answer:
Option a) 62.2 square feet
Step-by-step explanation:
we know that
The dilation is a non-rigid transformation that produces similar figures
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the large shape
y ----> the area of the small shape
so

we have


substitute


solve for x

Answer:
b
Step-by-step explanation:
Answer:
16 = l
4 = w
Step-by-step explanation:
{64 = wl
{40 = 2w + 2l
{l = 8 + 2w
64 = w[8 + 2w] ↷
-64 + 8w + 2w² ↷
[2w² - 8w] + [16w - 64]
2w[w - 4] 16[w - 4]
[w - 4][2w + 16] = 0
↑
This is the expression we want because when we talk about dimensions, we want NON-NEGATIVE numbers. The other expression results in -8 = w, and we do not want that; this expression gives us a solution of 4 = w, and THIS is exactly what we want. Anyway, you plug "4" back into the system of equations and you will get a length of 16 centimetres.
I am joyous to assist you anytime.
Answer:
10x
Step-by-step explanation:
smaller number is 9 and larger number is 90. The difference is 81.