Question

The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.

Answer 1

Answer:

20 cm and 10cm

Step-by-step explanation:

First we have to make our mathematical sentence from the data provided to figure the width which we will call X. We will use X for width (breath) and use 2X for length since length is twice the length of width. We also know there is 2 lengths and 2 widths to equal the perimeter.

Our sentence will be as follow: 2(2X)+2(X)=60m. Lets start working the sentence to find X.

2(2X)+2(X)=60

4X+2X=60

6X=60 now we divide each side by 6.

6X/6=60/6

X=10 now lets prove X=10

2(2X)+2(X)=60

2(2×10)+2(10)=60

2(20)+2(10)=60

40+20=60

60=60

so X is equal to 10.

2X is equal to 20.

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Answer 2

Let the breadth of the rectangle be x cm.

its length = 2x

Perimeter = 2 (length + breadth) = 2(2x + x) = 2 × 3x = 6x

As per the condition of the question, we have

6x = 60 ⇒ x = 10

Thus the required breadth = 10 cm

and the length = 10 × 2 = 20 cm.