The answer is X = 12.
This is how to get that answer: the formula for the intersecting secant and tangent outside the circle is a^2 = b(b+c) If you use the numbers in the pic you will get x^2 = 9(9+7) so the number after the equal sign will be 144, so x^2 = 144. To undo the square youre gonna use the square root on both sides, so you have X = 12.
You divide the numerator by the denominator
<u>Step by step explanation:</u>
Step 1:
Step 2:
Step 3:
Step 4:
Step 6:
Let x be the length of the playground. With this representation, the width may be expressed as x + 5. The area of a rectangular figure is the product of its length and width.
A = L x W
A = (x)(x+5) = 234 yd²
Solving for the value of x in the equation gives an answer of x = 13 and x = -18. The second value of x is not applicable to the problem since a negative number cannot be a value for length. Below is the calculation of the dimensions.
Length = x = 13 yards
Width = x + 5 = 18 yards
Thus, the length and width of the playground are 13 and 18 yards, respectively.