A rectangular backyard measures 15 meters by 20 meters.there is a square flower bed in the middle of the yard with three sides of 3 meters.what is the area of the yard only?
since the center bed is a square, I will assume that in fact all four sides are 3m. So, subtract the areas to get
15*20 - 3^2 = 291 m^2
To find the area of the yard only, we need to subtract the area of the square flower bed from the total area of the rectangular backyard.
The total area of the rectangular backyard is calculated by multiplying its length and width. In this case, the length is 15 meters and the width is 20 meters.
Area of rectangular backyard = length * width
= 15 meters * 20 meters
= 300 square meters
Now, we need to find the area of the square flower bed. Since three sides of the flower bed measure 3 meters each, we can calculate its area by squaring the length of one side.
Area of square flower bed = side length * side length
= 3 meters * 3 meters
= 9 square meters
Finally, we can find the area of the yard only by subtracting the area of the flower bed from the total area of the rectangular backyard:
Area of yard only = Area of rectangular backyard - Area of square flower bed
= 300 square meters - 9 square meters
= 291 square meters
Therefore, the area of the yard only is 291 square meters.