~11.31
Pythagorean Theorem because it is a right triangle.
A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
The expression for the area of the gift shop is
.B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
The expression for the perimeter of the gift shop is 112x + 8
C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet
</span>
Length = 20(1.5) + 24 feet =
54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet =
34 feet
Your dimensions are 54 feet (length) by 34 feet (width).</span>
False
. A closed circle is used when a number is a solution. An arrow to the left or right shows that the graph continues in that direction.
4.24dd2g78.268 and also 27.460.610
Answer:
B. y = 5/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(x
−
x
1
) to find the line parallel to y
=
5
/2
x
−
10
.
y
=
5
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
5
/2
x
−
10
.
y
=
−
2
/5
x
−
157
/5 PERPENDICULAR