the perimeter of a backyard is 430 feet. If the width is 19 feet less than the length, find the length of the yard.
Let x = length, then width = x-19
2x + 2(x-19) = 430
Solve for x.
huyu
To solve this problem, let's assume the length of the yard is "x" feet.
According to the information given, the width is 19 feet less than the length. Therefore, the width can be expressed as "x - 19" feet.
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter of the backyard is given as 430 feet, so we can set up the equation:
Perimeter = 2(length + width)
Using the values we have, we can substitute the length and width into the equation:
430 = 2(x + (x - 19))
Simplifying the equation, we get:
430 = 2(2x - 19)
430 = 4x - 38
Adding 38 to both sides, we have:
430 + 38 = 4x
468 = 4x
Dividing both sides by 4, we get:
x = 117
Therefore, the length of the yard is 117 feet.