Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
Hello!
As you can see, the angles we are given make up a 90 degree angle. We have the equation below.
4x=90
To solve we just divide both sides by 4.
90/4=22.5
x=22.5
I hope this helps!
Answer:
74/100
Step-by-step explanation:
If you want it simplified it's 37/50
Answer:

Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over 100 Percentage means 'out of 100
'.

Cancel the common factor of 35 and 100
.

Convert the fraction to a decimal by dividing the numerator by the denominator.
