The perimeter of the rectangle is 36 cm, find the area of the rectangle if it is known that its sides are related as

The perimeter of the rectangle is 36 cm, find the area of the rectangle if it is known that its sides are related as: a) 1: 5 b) 1: 3 c) 1: 2 d) 1: 1. How does the area of the rectangle change from the first to the last case? which rectangle has the largest area.

1. Find the sum of the parts of the sides of the rectangle in their ratio.

a) 1 + 5 = 6;

b) 1 + 3 = 4;

c) 1 + 2 = 3;

d) 1 + 1 = 2;

2. Determine how many centimeters fall on one part of the size of the sides of the rectangle.

a) 36/6 = 6 cm.

b) 36/4 = 9 cm.

c) 36/3 = 12 cm.

d) 36/2 = 18 cm.

3. Let’s calculate the size of each side of the rectangle.

a) The width is 1 * 6/2 = 3 cm. The length is 5 * 6/2 = 15 cm.

b) The width is 1 * 9/2 = 4.5 cm. The length is 9 * 3/2 = 13.5 cm.

c) Width 1 * 12/2 = 6 cm. Length 12 * 2/2 = 12 cm.

d) Width 1 * 18/2 = 9 cm. Length 1 * 18/2 = 9 cm.

4. Find the area of ​​the rectangle.

a) 3 * 15 = 45 cm ^ 2.

b) 4.5 * 13.5 = 60.75 cm ^ 2.

c) 6 * 12 = 72 cm ^ 2.

d) 9 * 9 = 81 cm ^ 2.

Answer: The larger the sum of the numbers in relation to the sides of the rectangle, the smaller its area. The largest area of ​​a rectangle with equal sides.