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The length of a garden is 10 feet longer than three times the width. The perimeter of the garden is 240 feet. Find the length and the width of the garden.

Respuesta :

JeanaShupp

Answer: width = 27.5 feet and length = 92.5 feet

Step-by-step explanation:

Let width = x, then length = 3x+10

Perimeter of rectangle = 2 (length +width)

Given:  Perimeter of the garden = 240 feet.

Then, [tex]2 (x+3x+10)=240[/tex]

[tex]\Rightarrow\ 2 (x+3x+10)=240\\\\\Rightarrow\ (4x+10)=120\\\\\Rightarrow\ 4x=110\\\\\Rightarrow\ x=\dfrac{110}{4}=27.5[/tex]

i.e. width = 27.5 feet

Then, length = 3(27.5)+10= 82.5+10=92.5 feet

Hence, width = 27.5 feet and length = 92.5 feet