Question

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 1

THE ANSWER IS 16, I just took the quiz.

Answer 2

The new rectangular garden will have a length of 16 meters and a width of 13 meters.

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* w`

`A=10* 13`

`A=130 m^2`

Increase area to 208 meter square.

Factors of 208 that is greater than 13 is

`(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.