Respuesta :
Answer:
Step-by-step explanation:
Let x represent the constant amount by which the length and width of the garden is increased.
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. This means that the new length of the garden would be (13 + 2x) cm and the new width of the garden would be (10 + 2x) cm. Therefore,
(13 + 2x)(10 + 2x) = 208
130 + 26x + 20x + 4x² -208 = 0
4x² + 46x - 208 - 130 = 0
4x² + 46x - 78 = 0
Dividing through by 2, it becomes
2x² + 23x - 39 = 0
2x² + 26x - 3x - 39 = 0
2x(x + 13) - 3(x + 13) = 0
2x - 3 = 0 or x + 13 = 0
x = 3/2 or x = - 13
Since the value of x cannot be negative, then
x = 3/2 = 1.5 m
The length of the new garden is
13 + 1.5 = 14.5 m
Answer:
16
Step-by-step explanation:
just took the test and put in 14.5 and it was wrong
hope this helps some other people
