Verified answer

GIVEN

The length of the rectangle is 5m longer than it's width. The area of the table is 66m²

ANSWER

Let m be the width

Let m+5 be the legth

(L)(W)= A

(m)(m+5)= 66

m²+5m=66

m²+5m-66=0

(m+11)(m-6)

ROOTS

m= -11 & m= 6

Questions:

C. Using the equation, how will you determine the length and the width of the table?

-using variables to find the length and width. The width is not given while the length have added 5 more.

D. What is the most appropriate method to be used in finding the unknown?

-factoring the quadratic equation

E. What is the width of the table? How about its length?

- If the width m= 6, then the length 6+5= 11

- If the length m= 11 then width 11-5= 6

F. Can you explain how you came up with your answers?

- I computed the given. It is a quadratic equation which can be factored and there I came up with my answer.

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