Nancy is planting cucumbers in a small garden. Before planting, Nancy adds a layer of soil to the garden.


Approximately how many square feet is needed to cover the garden with a layer of soil?


A. 147

B. 73.5

C. 49

D. 98

Nancy is planting cucumbers in a small garden Before planting Nancy adds a layer of soil to the gardenApproximately how many square feet is needed to cover the class=

Respuesta :

Answer:

C. 49

Step-by-step explanation:

Side a = 9.89949 = 7√2

Side b = 14

Side c = 9.89949 = 7√2

1/2 x 7√2 x 7√2 = 49

Hope this helps :)

The amount of soil needed to cover the garden is 49 sq.ft, the correct option is C.

What is Pythagoras Theorem?

According to Pythagoras Theorem, in a right angled triangle the square of the side opposite to the right angle is equal to the sum of squares of the other two sides.

Height² + Base² = Hypotenuse²

The right triangle has hypotenuse of 14ft  

As the other two angles are eqaul

The base and height of the triangle will be equal

Let the base and height of the triangle is x ft

By Pythagoras theorem,

x² +x²= 14²

2x² = 196

x² = 98

x = 9.9 ft

The area of the triangle will be equal to needed to cover the garden with a layer of soil

The area of the triangle is = (1/2) * base * height

Area of the triangle = (1/2) * 9.9 * 9.9

Area of the triangle is 49 sq.ft

To know more about Pythagoras Theorem

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