Question

The area of a gymnasium floor is 264 square yards. The floor is 11 yards wide. How long is the floor?

Answer 1

Hint: Now we know that the gymnasium floor is rectangular in shape. Now the area of the rectangle is given by length × width. We know the area of the gymnasium floor and the width. Let us assume the length to be x yards and substitute the values of length, breadth and area in the formula. Hence we will get an equation in x which will give us the length upon solving.

Complete step-by-step solution:
Now first we know that the gymnasium floor is rectangular in shape.
Now we know that the width of the floor is 11 yards.

Now we know that the area of the gymnasium floor is nothing but the area of the rectangle.
Now let us say that the length of the gymnasium floor is x cm.
Now the area of the rectangle is given by length × width.
Hence we have the area of the rectangle is x × 11.
But the area of the gymnasium floor is given to be 264 square yards.
Hence we have 264 = 11x
Now dividing the above equation by 11 we get, x = 24.
Hence the length of the floor is 24 yards.

Note: Now note that while substituting the values in the formula for area all the quantities must be in the same units. For example if the length is in yards then width and area must be in yards and square yards respectively. Hence if needed we will convert the units accordingly.