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What is the area of the largest possible quadrilateral with a perimeter of 24cm?
It is 36 cm2
How does a change in perimeter influence the area of a shape?
There is no systematic relationship between the two. Consider the following 2 rectangles: A = 8 cm * 8 cm: Perimeter = 32 cm, area = 64 cm2 B = 14 cm * 4 cm: Perimeter = 36 cm, area = 56 cm2 The perimeter of B is larger, but the area is smaller.
What are the possible sizes of a rectangle with with whole number side lengths and a perimeter of 24 cm?
1 * 11 = 11 cm2 2 * 10 = 20 cm2 3 * 9 = 27 cm2 4 * 8 = 32 cm2 5 * 7 = 35 cm2 6 * 6 = 36 cm2 7 * 5 = 35 cm2 8 * 4 = 32 cm2 9 * 3 = 27 cm2 10 * 2 = 20 cm2 11 * 1 = 11 cm2
What is the area of a rectangle that is a perimeter of 30?
It can be 56.25 or anything less, but not more. You can't tell the area from the perimeter, and you can't tell the perimeter from the area. -- if each side is 7.5, the perimeter is 30, and the area is 56.25 -- if it's (5 by 10), the perimeter is still 30, and the area is 50 -- if it's (4 by 11), the perimeter is still 30, and the area is 44 -- if it's (3 by 12), the perimeter is still 30, and the area is 36 -- if it's (2 by 13), the perimeter is still 30, and the area is 26 -- if it's (1 by 14), the perimeter is still 30, and the area is 14
What are the dimensions of the diving board area of 36 square feet and a perimeter of 30 feet?
3 x 12
