Question

the perimeter of a rectangular note card is 18 inches. the area is 20 square inches. what are the dimensions of the note card? inches by inches

Explanation:

Step1: Define variables

Let length = $l$, width = $w$.

Step2: Use perimeter formula

Perimeter: $2(l + w) = 18 \implies l + w = 9$.

Step3: Use area formula

Area: $l \times w = 20$.

Step4: Find $l$ and $w$

Solve $x^2 - 9x + 20 = 0$: roots 4 and 5.

Answer:

4 inches by 5 inches