Answer:
B 10.8 or
A 9.2 depending on what side of the triangle is "x".
Step-by-step explanation:
we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).
but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).
then by using Pythagoras
c² = a² + b²
=>
x² = 10² + 4² = 116
x = sqrt(116) = 10.8
but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.
for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this
10² = x² + 4²
x² = 10² - 4² = 84
x = sqrt(84) = 9.2 (and answer A would be correct).
or if the Hypotenuse is the side with 4, then
4² = x² + 10²
x² = 4² - 10² = -84
x = sqrt(-84)
and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.
3/2 is an improper fraction, where the denominator (bottom number) is smaller than the top (numerator)
1 1/2 is this same fraction but now it is not improper.
The perimeter of a rectangle is P=2l+2w where l is the length and w is the width.
Plug in values of l and w in:
P=2(x+8)+2(x-1)
P=2x+16+2x-2
P=4x+14
So the perimeter of the rectangle is 4x+14 units
Hope this helped!
