Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden? Enter your answer in the box. m
Answer:
The new rectangular garden will have a length of 16 meters and a width of 13 meters.
Step-by-step explanation:
Given : Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the width and length by the same amount.
To find : What will be the length (longer dimension) of the new garden?
Solution :
Tyler has a rectangular garden that measures 10 m wide by 13 m long.
Area of the rectangular garden is
\(A=l\times w\)
\(A=10\times 13\)
\(A=130 m^2\)
Increase area to 208 meter square.
Factors of 208 that is greater than 13 is
\(\frac{208}{13}=16\)
So, the length became 16 by addition of 3 unit.
Length: 13 + 3 = 16
Width: 10 + 3 = 13
The new rectangular garden will have a length of 16 meters and a width of 13 meters.