Question

PLS GIVE A STEP BY STEP EXPLANATION 25 POINTS FOR ANSWERING + BRAINLIEST IF YOU GET IT RIGHT The diagram shows 3 identical circles inside a rectangle Each circle touches two other circles and the sides of a rectangle as shown in a diagram The radius of each circle is 24mm. Work out the area of the rectangle Give the correct answer to three significant figures.

Answer 1

Answer:

Area = 8.60 × 10² mm³

Step-by-step explanation:

Finding the Width first:

Width = 4(r)  [Because 4 radius-es make up the width]

Width = 4(24 mm)

Width = 96 mm

Now, The length:

Length = $r(2+\sqrt{3} )$   [Because Length is made up of 2 radius-es and an √3 radius also!]

Length = (24)(2+1.7)

Length = (24)(3.7)

Length = 89.6 mm

Now, The Area:

=> Area of Rectangle = $Length*Width$

=> Area = 96 * 89.6

=> Area = 8.60 × 10³ mm² [Correct up to 3 significant figures]