Question

Cara is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 20 inches × 14

Answer 1

Answer:

The total amount of paper needed by Cara for the project is 390.9 inch².

Step-by-step explanation:

Dimensions of the 1st rectangle is 20 inches × $14\frac{1}{4}$ inches

That is, the dimensions are 20 inches × $\frac{57}{4}$ inches

As, Area of a rectangle = Length × Width

So, we have,

Area of the 1st rectangle = $20\times \frac{57}{4}$

i.e. Area of the 1st rectangle = $5\times 57$

i.e. Area of the 1st rectangle = 285 inch²

Further, it is given that,

Dimensions of the 2nd rectangle is $10\frac{1}{3}$ inches × $10\frac{1}{4}$ inches

That is, the dimensions are $\frac{31}{3}$ inches × $\frac{41}{4}$ inches

Then, we get,

Area of the 2nd rectangle = $\frac{31}{3}\times \frac{41}{4}$

i.e. Area of the 2nd rectangle = $\frac{1271}{12}$

i.e. Area of the 2nd rectangle = 105.9 inch²

Thus, the total area of the rectangles = 285 + 105.9 = 390.9 inch²

Hence, the total amount of paper needed by Cara for the project is 390.9 inch².