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Cara is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 20 inches × 14
1
4
inches. She needs to cut another rectangle that is 10
1
3
inches by 10
1
4
inches. How many total square inches of construction paper does Cara need for her project?

Respuesta :

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 × [tex]14\frac{1}{4}[/tex] inches

That is, the dimensions are 20 inches × [tex]\frac{57}{4}[/tex] inches

As, Area of a rectangle = Length × Width

So, we have,

Area of the 1st rectangle = [tex]20\times \frac{57}{4}[/tex]

i.e. Area of the 1st rectangle = [tex]5\times 57[/tex]

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

Further, it is given that,

Dimensions of the 2nd rectangle is [tex]10\frac{1}{3}[/tex] inches × [tex]10\frac{1}{4}[/tex] inches

That is, the dimensions are [tex]\frac{31}{3}[/tex] inches × [tex]\frac{41}{4}[/tex] inches

Then, we get,

Area of the 2nd rectangle = [tex]\frac{31}{3}\times \frac{41}{4}[/tex]

i.e. Area of the 2nd rectangle = [tex]\frac{1271}{12}[/tex]

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.