Find the perimeter of the rectangle if you know the area of the triangle and the side.

Find the perimeter of the rectangle if you know the area of the triangle and the side. The width is 2 dm and the area of the (right-angled) triangle S = 8 dm2

A rectangle is a rectangle with equal opposite sides and right angles.

Its area (numerical characteristic of a two-dimensional geometric figure) is calculated by the formula:

S = a * b. Provided that this value is 8 dm², and the width = 2 dm, we express the length (to find the first factor, divide the product by the second:

a = S: b = 8: 2 = 4 dm.

The perimeter is the sum of all sides. For a rectangle, it is determined by the formula:

P = 2a + 2b = 2 * 4 + 2 * 2 = 8 + 4 = 12 dm.