1. Give a mathematical representation for the word problem.
let x be the width
x+8 be the length
2. Write all the givens from the word problem
length x+8 m
width x m
area 20sq.m
3. Formulate an equation based from all the givens you have.
so, area of a rectangle is length × width
and then the equation is (x+8)(x)=20
4. solve the equation you formulated
x+8(x)=20
x²+8x=20
x²+8x-20=0 this is a quadratic equation and solve for x and only use positive value of x.
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Answers & Comments
1. Give a mathematical representation for the word problem.
let x be the width
x+8 be the length
2. Write all the givens from the word problem
length x+8 m
width x m
area 20sq.m
3. Formulate an equation based from all the givens you have.
so, area of a rectangle is length × width
and then the equation is (x+8)(x)=20
4. solve the equation you formulated
x+8(x)=20
x²+8x=20
x²+8x-20=0 this is a quadratic equation and solve for x and only use positive value of x.