First find Y
using the Pythagorean theorem
y = sqrt (3^2 -1^2)
y = sqrt(8)
y = 2sqrt(2)
now you can use Y to find Z
Z= sqrt( y^2 + 8^2)
z = 6sqrt(2)
the answer is D
Answer:
Step-by-step explanation:
the slope is -3/2
equation: y=-3/2x +4
The dimension of the rectangle 18 feet by 13feet
<h3>How to calculate the area of a rectangle</h3>
A rectangle is a 2 dimensional shape having two sides.
Area of a rectangle = length * width
Given the following parameters
Length = x + 8
Width = x + 3
Area = 234ft^2
Substitute the given parameters into the formula
(x+8)(x+3) = 234
x² + 3x + 8x + 24 = 234
x² + 11x = 234 - 24
x² + 11x = 210
x² + 11x - 210 = 0
Factorize
x² + 21x - 10x - 210 = 0
x(x+21) - 10(x+21) = 0
x - 10 = 0
X = 10
Leength = x + 8
Length = 18 feet
Width = x + 3
Width = 3 + 10
Width = 13feet
Hence the dimension of the rectangle 18 feet by 13feet
Learn more on dimension here: brainly.com/question/19819849