A square picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. Find the area of the mat that will remain uncovered by the picture.

To find the area of the mat that will remain uncovered by the picture, we need to first find the area of the picture and then subtract it from the area of the mat.

The area of a square is given by the formula A = s^2, where A represents the area and s represents the length of a side.

Given that the sides of the picture have a length of 32 inches, we can calculate the area of the picture as follows:
Area of picture = 32^2 = 1024 square inches.

Similarly, for the mat with sides of 52 inches:
Area of mat = 52^2 = 2704 square inches.

Finally, to find the area of the mat that remains uncovered by the picture, we subtract the area of the picture from the area of the mat:
Area uncovered = Area of mat - Area of picture
= 2704 - 1024
= 1680 square inches.

Therefore, the area of the mat that will remain uncovered by the picture is 1680 square inches.

mat: 52^2 - 32^2 = ?

car: (108km/hr)/(15s) = (30m/s)/(15s) = 2 m/s^2

A motor car is uniformly retarded and brought to rest form a speed of 108km/h in 15 seconds.find its retardation

Vo = 108km/h = 108,000m/3600s. = 30 m/s.

V = Vo + a*t = 0.
30 + a*15 = 0,
a = -2 m/s^2.

2 in^2