Question

Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5 feet shorter than three times its width. He decides the perimeter should be 70. PLEASEEEEE ITS URGENT

Answer 1

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet