Question

mrs. goldstein is making shapes out of paper for a geometry project. how many square centimeters of fabric will mrs. goldstein need to make the paper shape below? mrs. goldstein will need square centimeters of fabric to make the paper shape.

Explanation:

Step1: Divide the shape into rectangles

We can divide the L - shaped figure into two rectangles. One rectangle has dimensions 4 cm by 10 cm and the other has dimensions (12 - 4) = 8 cm by 5 cm.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 10$ cm and width $w = 4$ cm, the area $A_1=10\times4 = 40$ $cm^2$.

Step3: Calculate the area of the second rectangle

For the second rectangle with length $l = 8$ cm and width $w = 5$ cm, the area $A_2 = 8\times5=40$ $cm^2$.

Step4: Calculate the total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=40 + 40=80$ $cm^2$.

Answer:

80