Question

Need help with question 15! please!!! This is due 02/2/22 which is tmr please!

Answer 1

Answer: x = 6

Step-by-step explanation:

Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.

Next, we set up the proportion as follows:

$\frac{21}{x+3} =\frac{7}{3}$

Then, you cross multiply to get the equation:

$63=7x+21$

After solving down algebraically, you get the value of x to be 6.

I hope this helps!