Answer:

Step-by-step explanation:
we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e
- the area of the square equal to the area of the rectangle
therefore,

recall the formula of the area of square and rectangle so,

now assign variables
thus substitute:

simplify square:

divide both sides by 32:

and we're done!
Answer:
20:21
Step-by-step explanation:
Let's first start by converting each ratio so that the number of girls is the same
2:3
4:7
The least common multiple of 3 and 4 is 12 so...
8:12
12:21
We add 8 and 12 to get the number of junior members...
8+12=20
Then we put it in a ratio with the amount of adult members...
20:21
To solve a quadratic equation like
, you can use the quadratic formula

In your case,
, so the formula becomes

We can simplify the expression:

Since -3 is negative, its square root is computed as

So, the solutions are
