The maximum area with straight sides and a given perimeter is a square.
The sides of the square are (68/4) = 17 inches.
The area is (17 x 17) = 289 square inches
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
yes
If the perimeter of a rectangle is 16 inches, the formula for the perimeter is ( P = 2(l + w) ), where ( l ) is the length and ( w ) is the width. Setting the perimeter equal to 16 gives us ( l + w = 8 ). The area ( A ) of the rectangle is calculated as ( A = l \times w ). Without specific dimensions for length and width, the area can vary; however, the maximum area occurs when the rectangle is a square with each side measuring 4 inches, giving an area of ( 16 ) square inches.
28 inches
The dimensions of the rectangle are 3 inches by 14 inches
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
yes
If the perimeter of a rectangle is 16 inches, the formula for the perimeter is ( P = 2(l + w) ), where ( l ) is the length and ( w ) is the width. Setting the perimeter equal to 16 gives us ( l + w = 8 ). The area ( A ) of the rectangle is calculated as ( A = l \times w ). Without specific dimensions for length and width, the area can vary; however, the maximum area occurs when the rectangle is a square with each side measuring 4 inches, giving an area of ( 16 ) square inches.
Perimeter:20 inches Area:35
28 inches
The maximum area for a rectangle of fixed perimeter is that of the square that can be formed with the given perimeter. 136/4 = 34, so that the side of such a square will be 34 and its area 342 = 1156.
Perimeter = 32 inches. Area = 55 square inches.
Perimeter = 24 inches Area = 35 square inches
The dimensions of the rectangle are 3 inches by 14 inches
If that's a rectangle, the perimeter is 24 inches and the area is 27 square inches.
10.5
24