Answer:
width = 40 feet, length = 90 feet
Explanation:
length = 2w + 10
width = w
Perimeter = 260
Perimeter of rectangle = 2length + 2width
Sub the values into that equation:
260 = 2(2w + 10) + 2(w)
260 = 4w + 20 + 2w
260 = 6w + 20
260 - 20 = 6w
240 = 6w
w = 240/6
w = 40
So now we know the width of the garden is 40 feet.
To find the length, substitute the width into the length equation:
length = 2w + 10
length = 2(40) + 10
length = 90 feet
length = 90 feet, width = 40 feet