Can anyone Make Linear Equations out of this statement for me?

Q: The length of a rectangle is 4 times its width (l=4w). The perimeter of the rectangle is 150cm. Find the dimensions of the triangle.

I just want the simultaneous linear equations made.

I made one out of the perimeter info.

2l + 2w = 150

=> 2 (l+w) = 150

=> l+w = 150/2

equation is l+w = 75......(i)

I need another equation out of the l=4w info.

QUICK!

4 Answers

Relevance
  • 7 years ago
    Favorite Answer

    l+w=75

    from l=4w

    substitute value of l in (i)

    then, 4w+w=75

    =>5w=75

    => w=75/5=15

    l=4w=4(15)=60

    therefore the length and the width of the rectangle are 60cm and 15cm respectively.

  • 7 years ago

    Width ............ w

    Length .........4w

    Perimeter: 2w + 2l

    150 = 2(w) + 2(4w)

    Clear the parentheses

    150 = 2w + 8w <-- Here is the equation

    Combine like terms

    150 = 10w

    Divide both sides by 10

    15 = width

    So 60 = length

  • 7 years ago

    2l+2w=150

    2(l+w)=150

    (4w+w)=150/2

    5w=75

    w=75/5=15

    l=4*15=60

  • 7 years ago

    5w = 75

    ==> w = 15

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