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Four equilateral triangles are described on the four sides of a rectangle with perimeter 12 cm. If the sum of the area of four triangles is 10 cm2 ,what is the area of the rectangle?

(a)

5cm2

(b)

8 cm2

(c)

9 cm2

(d)

6.75 cm2



Question ID - 50145 | SaraNextGen Top Answer

Four equilateral triangles are described on the four sides of a rectangle with perimeter 12 cm. If the sum of the area of four triangles is 10 cm2 ,what is the area of the rectangle?

(a)

5cm2

(b)

8 cm2

(c)

9 cm2

(d)

6.75 cm2

1 Answer
127 votes
Answer Key / Explanation : (b) -

Length =  breadth =

Then,

 

Sum of areas of the four triangles

 

=

 

Therefore,

Length = 4 cm, breadth = 2 cm.

Area of rectangle = 8 sq. cm.

127 votes


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