2 thoughts on “the length of a rectangle is twice the breadth. If the perimeter is 60m, find its ara”

Answer:

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.

Answer: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

Length = 2Breadth

Perimeter = 2(Length + Breadth)

60 = 2(3 Breadth)

6 * Breadth = 60

Breadth = 10 m

Length = 20 m