Question

Pierre is building a fence for his mother's rectangular backyard. The formula for the perimeter, P = 2( + ) P = 20 + w), where Il is the length and Ww is the width of the backyard. Pierre has enough material to build a fence with a perimeter of 46 m. If the width of

the backyard is 6 m, what is the length?

Answer 1

To find the length of the rectangular backyard, use the formula for perimeter, substitute given values and solve for the length.

Step-by-step explanation:

To find the length of the backyard, we can use the formula for the perimeter of a rectangle, P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Since we know the width is 6 m and the perimeter is 46 m, we can substitute these values into the formula and solve for the length.

46 = 2(l + 6)

Dividing both sides by 2 gives: 23 = l + 6

Subtracting 6 from both sides gives: l = 17

Therefore, the length of the backyard is 17 meters.