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 w

Question

4 years ago

11

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 w

idth and length by the same amount. What will be the length (longer dimension) of the new garden? Enter your answer in the box. m

Mathematics

2 answers:

nikitadnepr [17] · Answer 1 · 2021-11-28T04:02:01+03:00

nikitadnepr [17]4 years ago

6 0

Answer:

THE ANSWER IS 16, I just took the quiz.

Murrr4er [49] · Answer 2 · 2021-11-28T06:23:44+03:00

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.