the length of a rectangle is twice the breadth. If the perimeter is 60m, find its ara
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19
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
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0
Length = 2Breadth
Perimeter = 2(Length + Breadth)
60 = 2(3 Breadth)
6 * Breadth = 60
Breadth = 10 m
Length = 20 m
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