Question

a square vegetable garden has side lengths of 12 feet. You plant flowers in the center portion as shown. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the onion section?

Answer 1

Given :-

A square vegetable garden has side lengths of 12 feet.

You plant flowers in the center portion of the garden,a square that has side lengths of 4 feet.

You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers.

To Find :-

What is the area of the onion section ?

Solution :-

Given that,

→ side of square vegetable garden is = 12 feet .

So ,

→ Area of square vegetable garden = (side)² = (12)² = 144 feet².

Now, given that, inside this area, there is a square of side 4 feet reserved for flowers .

So,

→ The area of the flower section = (side)² = (4)² = 16 feet².

Therefore,

→ The rest of the garden that is intended for vegetables is = The total garden area - The flower section area = 144 - 16 = 128 feet².

Now, this remaining area is to be divided in four equal sections .

So,

→ The area of the onion section = (1/4) of remaining area = (1/4) * 128 = 32 feet². (Ans.)

Hence, The area of the onion section is 32 feet².

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