Asquare ceiling has a diagonal of 24 ft. shelton wants to put molding around the perimeter of the ceiling.

how many feet of molding will he need?

round to the nearest foot.

enter your answer in the box.

ft.

The length of the side is half the length of the diagonal over square root 2:

24/2 = 12

Side length = 12√2 = 16.97 feet.

Perimeter is 4 times the length of one side:

Perimeter = 16.97 x 4 = 67.88 Round up to 68 feet.

Shelton needs 68 feet of molding.

68 feet

Step-by-step explanation:

A square ceiling has a diagonal of 24 ft.

Shelton wants to put molding around the perimeter of the ceiling.

Let the side of the square of ceiling be x ft

We are given 24 is diagonal of this square.

Using pythagoreous theorem.

Sum of square of side of square is equal to square of diagonal.

Taking square root both sides

Now, we find the perimeter of square.

P = 4x

P = 4(17)

P = 68 foot

Hence, Shelton needs 68 feet of molding.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.