The area of a rectangle is shown below

The area of the rectangle is 56
Which of the following are possible values for the length and width of the rectangle?
A.length=6cm and width=9cm
B.length=7cm and width=8cm
C.length=14cm and width=14cm
D.Length=28cm and width=28cm
B?

What is the area and perimeter of this square if 1 side is 6 yards?
Perimeter is 24
Area is 46

Which equation could be used to find C the circumference of circles using r the radius of a circle?

radius,r Circumference c
4 24
7 42
10 60

A.C=rx6
B.C=r+6
C.r/6
D.C=6(3xr)
A?

The first is right.

The area of the square is wrong.

Sorry -- but I don't understand the last problem.

I meant 36, sorry.

Area of square =36

To determine the possible values for the length and width of the rectangle in question, we need to find factor pairs of 56. The length and width of a rectangle are the two factors that multiply together to give the area.

The factors of 56 are:
1 x 56
2 x 28
4 x 14
7 x 8

Out of the given options:
A. length = 6cm and width = 9cm -> The product is 6 x 9 = 54, not 56.
B. length = 7cm and width = 8cm -> The product is 7 x 8 = 56, which matches the given area. Thus, this option is a possible solution.
C. length = 14cm and width = 14cm -> The product is 14 x 14 = 196, not 56.
D. length = 28cm and width = 28cm -> The product is 28 x 28 = 784, not 56.

Therefore, the correct answer is option B - length = 7cm and width = 8cm.

For the second question about the square with a side length of 6 yards:
The perimeter of a square is calculated by adding the lengths of all four sides. Since all sides of a square are equal, you can multiply the length of one side by 4 to find the perimeter. In this case, the perimeter is 6 x 4 = 24 yards.

The area of a square is found by multiplying the length of one side by itself. So, in this case, the area is 6 x 6 = 36 square yards, not 46.

Therefore, the correct answers are:
Perimeter = 24 yards
Area = 36 square yards.

Regarding the equation for finding the circumference (C) of a circle using the radius (r):
The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter.

None of the given options directly matches these formulas. However, option D, C = 6(3xr), seems to be attempting to show the relationship between the circumference and radius. It is close, but it is incorrect because it is missing the π (pi) value in the equation.

Therefore, none of the provided options are correct.