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Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.

What are the dimensions of the garden that Ricky Bobby made?

How much area was there inside the garden?

If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?


Helpp I don’t get this

Respuesta :

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.