P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
The answer is 6. because a hexagon has 6 sidea
Answer:
Types of polygon
Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.
Regular and irregular polygons
Interior angles of polygons
To find the sum of interior angles in a polygon divide the polygon into triangles.
Irregular pentagons
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
Example
Calculate the sum of interior angles in a pentagon.
A pentagon contains 3 triangles. The sum of the interior angles is:
180 * 3 = 540
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n - 2) * 180 (where n is the number of sides)