Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The diagram shows a triangle
inside a rectangle. All lengths are in cm.
Work out the area of the rectangle:
15
20
16

The Diagram Shows A Triangle Inside A Rectangle All Lengths Are In Cm Work Out The Area Of The Rectangle 15 20 16 class=

Sagot :

ivycoveredwalls

Answer:

Area = 180 cm^2

Step-by-step explanation:

See attached image.  The width of the rectangle, a , is the hypotenuse of a right triangle with legs 15 and 20.

Use the Pythagorean Theorem: leg^2 +leg^2 = hypotenuse^2

[tex]a^2=15^2+20^2\\\\a^2=225+400\\\\a^2=625\\\\a=\sqrt{625}=15[/tex]

The width, w, is one leg of a right triangle that has hypotenuse 20 and one leg 16.

[tex]w^2+16^2=20^2\\\\w^2+256=400\\\\w^2=144\\\\w=\sqrt{144}=12[/tex]

The rectangle has length 15 cm and width 12 cm so its area is 12 x 15 = 180 cm^2

View image ivycoveredwalls
vidalmari6p99qfk

Answer:

AREA RECTANGLE =300 cm²

Step-by-step explanation:

If 2 of the 3 vertices of a triangle match up with 2 of the 4 vertices of a rectangle,then the area of the triangle will be exactly half of the area of the rectangle

(Or the area of the rectangle  will be exactly double  of the area of the triangle)

 

  Area right triangle  = ½ × base × height.

A = 1/2(15X20)

A=1/2( 300)

Area triangle =150  

Area of rectangle is DOUBLE as the  area of triangle

AREA RECTANGLE = 300

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.