In this polygram all angles are right angles what is the area of this polygram? Enter your
Answer (1)
A polygram with all right angles is an irregular rectilinear polygon. A polygram is a type of shape made by connecting straight lines that form a star-like figure or multi-pointed pattern. It looks like a star because its lines cross over each other.Methods to Compute for Area of a PolygramMethod 1To find its area, divide it into smaller rectangles, find the area of each, and add them all together.Break the shape into smaller rectangles (or squares), each with known length and width.Compute the area of each rectangle using Area = Length × Width.Add all the areas to get the total area.Sample Problem: An L-shaped polygram made up of 2 rectangles.Rectangle A: 4 ft × 3 ft = 12 ft²Rectangle B: 2 ft × 3 ft = 6 ft²Total area = 12 + 6 = 18 ft²Method 2Find the area of the outer bounding rectangle (the largest full rectangle that contains the shape).Subtract the area of any parts that are missing or cut out.Sample Problem: A polygram is broken into two rectangle shapes. If the outer rectangle is 6 ft × 4 ft. The smaller rectangle is 2 ft × 2 ft.6 ft × 4 ft = 24 ft²2 ft × 2 ft = 4 ft²Total area = 24 − 4 = 20 ft²
