Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Q4. The diagram shows a triangle inside a rectangle.
2x
All measurements are given in centimetres.
Show that the total area, in cm², of the shaded regions is 18x - 30
3x-5
Diagram NOT
accurately drawn

Q4 The Diagram Shows A Triangle Inside A Rectangle 2x All Measurements Are Given In Centimetres Show That The Total Area In Cm Of The Shaded Regions Is 18x 30 3 class=

Sagot :

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

How to find the area of the shaded region?

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

learn more on area here: https://brainly.com/question/21208569

#SPJ1

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.