Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft. If Andrea wants to sod the rest of her yard, how many square feet of sod should she order?

A. 765 ft
B. 840 ft
C. 945 ft
D. 1,515 ft

What is the size of the yard?

The answer is 840

WHY IS THIS ANSWER A YEAR LATER IM LAUGHING

why was that reply 2 years late, and why is this one one year later XD btw answer is 945 ft

To find the area of the sod needed, we need to first find the area of the entire yard.

Since the garden area EFGB is a parallelogram, we can use the formula for the area of a parallelogram: Area = base × height.

We know the area of the garden is 105 ft, so we need to find the base and height of the garden.

Let's look at the yard, parallelogram ABCD. Since opposite sides of a parallelogram are equal in length, we can see that base EF is equal to side AD.

Now, let's find the height of the garden. The height of the garden is the perpendicular distance between the base EF and the opposite side AB. In a parallelogram, the opposite sides are parallel, so the height of the garden is equal to the perpendicular distance between AB and EF.

Therefore, to find the height of the garden, we need to find the perpendicular distance between AB and EF.

Now, we can calculate the area of the entire yard (parallelogram ABCD) by multiplying the base (AD) by the height.

Finally, to find the area of sod needed, we subtract the area of the garden (EFGB) from the area of the entire yard (ABCD).

Let's calculate it step by step:

1. Calculate the base (AD) of the garden:
Since AD is parallel to EF, EF = AD = 105 ft.

2. Find the height of the garden:
The height is the perpendicular distance between AB and EF. Since AB is parallel to EF, the height is the perpendicular distance between parallel lines, which is the same as the height of the parallelogram ABCD. Therefore, to find the height, we need to determine the perpendicular distance between AB and EF. We can measure this distance using the given figures or any geometric deduction from the question.

3. Calculate the area of the entire yard (ABCD):
Area of ABCD = base × height

4. Calculate the area of sod needed:
Area of sod = Area of ABCD - Area of EFGB

Now that we have explained the process, let's perform the calculations. Could you please provide the necessary dimensions (lengths) or additional information required to continue?