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Mr.Spence built a rectangular garden surrounded by a walkway. The walkway is an equal width around the whole garden.What is the area of the garden?A. 600 square feetB. 336 square feetC. 459 square feetD. 1,800 square feet

MrSpence Built A Rectangular Garden Surrounded By A Walkway The Walkway Is An Equal Width Around The Whole GardenWhat Is The Area Of The GardenA 600 Square Feet class=

Sagot :

Answer:

B. 336 square feet

Explanation:

The larger rectangle has a width of 20ft and a length of 30ft.

Width of the walkway = 3 feet.

Since the walkway is around the garden, we subtract the width on both sides.

Therefore:

[tex]\begin{gathered} \text{The length of the garden }=30-(3+3) \\ =30-6 \\ =24ft \end{gathered}[/tex]

Similarly:

[tex]\begin{gathered} \text{The width of the garden }=20-(3+3) \\ =20-6 \\ =14ft \end{gathered}[/tex]

We then calculate the area of the garden.

[tex]\begin{gathered} \text{Area of the garden=Length}\times Width \\ =24\times14 \\ =336\text{ square feet} \end{gathered}[/tex]

The area of the garden is 336 square feet.

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