You made a square card. The card did not fit in the envelope so you trimmed it. You trimmed 4 inches from the length and 5 inches from the width. The area of the resulting card is 20 square inches. What were the original dimensions for the card?

The original dimensions of the card were 9 inches length and 9 inches width

Step-by-step explanation:

Let x be the original length and width of the card in inches (remember that it was squared originally). The exercise says that the area of the new width, with dimensions x-4 and x-5 is 20 square inches, therefore

(x-4)*(x-5) = 20

x²-9x+20 = 20

x²-9x = 0

x*(x-9) = 0

x = 0 or x = 9

Since x must be positive, then it cant be 0, thus, x has to be 9. The original dimensions of the card were 9 inches length and 9 inches width.

original dimension for the card = 9 inches by 9 inches

Step-by-step explanation:

Let the length and width of the card be x and x respectively since its a square card and they are both the same length.

Upon trimming, new length and width are (x-4) inches and (x-5) inches respectively.

Area of new card = (x-4)(x-5) = 20

Expanding the brackets to form a quadratic equation

Area of new card = x² - 5x - 4x + 20 = 20 ≡ x² -9x = 0

Hence x² = 9x

and x = 9

Therefore original dimension for the card = 9 inches by 9 inches

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

answer: i realy don't get it that much can you me figer it out pleas you

step-by-step explanation: