A yard with dimensions of 15 meters by 10 meters has a flower garden in the middle. The flower garden has the dimensions of 4 meters by 7 meters.
What is the area of the yard without the flower garden?
The area of the yard is 15 meters by 10 meters, which equals 150 square meters.
The area of the flower garden is 4 meters by 7 meters, which equals 28 square meters.
Therefore, the area of the yard without the flower garden is 150 square meters - 28 square meters = 122 square meters. Answer: \boxed{122}.
To find the area of the yard without the flower garden, we need to calculate the area of the entire yard and then subtract the area of the flower garden.
Area of the yard = length of the yard * width of the yard
= 15 meters * 10 meters
= 150 square meters
Area of the flower garden = length of the flower garden * width of the flower garden
= 4 meters * 7 meters
= 28 square meters
Now, to find the area of the yard without the flower garden, we subtract the area of the flower garden from the area of the yard.
Area of the yard without the flower garden = Area of the yard - Area of the flower garden
= 150 square meters - 28 square meters
= 122 square meters
Therefore, the area of the yard without the flower garden is 122 square meters.