Answer:
Length= 19 yd
Width= 15 yd
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Mathematically, it can be represented as below:
Define variables used:
Let the length and width of the rectangle be L and W yards respectively.
Form an equation:
Given that the length of the rectangle is 4 yards longer that the width,
L= W +4 -----(1)
Next, form another equation using information on the perimeter.
68= 2(L +W) -----(2)
Substitute equation (1) into (2):
68= 2(W +4 +W)
68= 2(2W +4)
Divide both sides by 2:
34= 2W +4
Subtract both sides by 4:
2W= 34 -4
2W= 30
Divide both sides by 2:
W= 30 ÷2
<u>W= 15</u>
Substitute W= 15 into (1):
L= 15 +4
<u>L= 19</u>
Therefore, the length and width of the rectangle is 19 and 15 yards respectively.
Additional:
For another question on perimeter of rectangle, check out: brainly.com/question/15528005
Answer:
x=16 alternate interior angles converse
Step-by-step explanation:
Answer: 114
Step-by-step explanation:
680/17 is 40
40+40+17+17 is 114.
There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).
Option 1 (fast and easy):The following is the equation for the area of a regular pentagon with side length s.
Plug s=12 into the equation.
The third choice should be your answer.
Option 2 (much more complicated):The area of a regular polygon can be solved with the following formula.
Let's solve for the apothem.
A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.
An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.
The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.
The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.
(it seems that we're off by 0.1 due to rounding errors)
The answer is the third choice. Hope this helps! :)
