Every angle in the polygon is a right angle. The area of the polygon is 426 in2

What is the length of the left side of the polygon? Show your work
Plss help

Every angle in the polygon is a right angle The area of the polygon is 426 in2What is the length of the left side of the polygon Show your workPlss help class=

Respuesta :

The length of the missing side of the polygon with an area of 426 inches² is  31 inches.

Polygon

Polygon is a 2-dimensional shape. They are made of straight lines.

Therefore,

area of the polygon = 426 inches²

The composite figure can be divided into two rectangle. Therefore,

area = area of rectangle 1 + area of rectangle 2

area of rectangle = lw

where

  • l = length
  • w = width

Therefore,

let

the unknown side = x

426 = 26 × 11 + (26 - 19) (x - 11)

426 = 286 + 7x - 77

426 + 77 - 286 = 7x

7x = 217

x = 217 / 7

x = 31

learn more on polygon here: https://brainly.com/question/397759

943534

Answer:

31

Step-by-step explanation: