Answer:
The length of playground is 12 yd
The width of playground is 14 yd
The sum of the length and width of playground is 26 yd
Step-by-step explanation:
The area, A of the playground is given as 168 yd²
The formula for the area of the playground is given as follows;
Area, A of playground = Length, L × Width, W
The Width = length + 2 yd or W = L + 2
Therefore, A = L × (L + 2)
A = L² + 2·L
Where we have A = 168 yd², we have the area equation presented as follows
168 = L² + 2·L or
L² + 2·L - 168 = 0
Factorizing the above equation gives
L = 12 or L = -14 we note that the appropriate solution is L = 12 yd
Therefore W = L + 2 = 12 + 2 = 14 yd
The length of playground = 12 yd
The width of playground = 14 yd
The sum of the length and width of playground = 12 + 14 = 26 yd.
