Question

please help me thank you.

Answer 1

Question 1:

When using a ratio that is comparing two parts of one whole thing, I like to use this approach.

The ratio is 11:25

Add 11 and 25.
You get 36.

Now, just divide that from 180 (the total number of degrees in a straight line)

180/36 = 5

Multiply that with 25. (the ∠ZXY part of the ratio)

5 * 25 = 125.

Thus, angle ZXY is 125 degrees.

Question 2:

Let x be a variable.

The length is 5x and the width is 4x (using the ratio and assuming the length is larger than the width).

We know that 5x multiplied with 4x is 500.

$5x(4x)$

$=20x^2$

Now, we have an equation

$20x^2=500$

Divide both sides by 20

$x^2=25$

Now, take the positive square root.

$x=5$

Now, multiply that by 5 (the length part of the ratio).

5*5 = 25.

That's your answer.

Have an awesome day! :)