Question

Gina is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 12 inches by 14 1/4 inches. She needs another rectangle that is 10 1/2 inches by 10 1/4 inches. How many Total square inches of construction paper does Gina need for her project

Answer 1

Total area of construction paper = 278.63 square inches

Explanation:

Given:

Dimension for First rectangle =
`12* 14(1)/(4)`

Dimension for another rectangle =
`10(1)/(2)* 10(1)/(4)`

Solution:

First we find the area of the first rectangle

`Area = length* width`

`A_(1) = 12* 14(1)/(4)`

`A_(1) = 12* (57)/(4)`

`A_(1) = (12* 57)/(4)`

`A_(1) = 3* 57`

`A_(1) = 171\ square\ inches`

Similarly, we find the area of the another rectangle.

`Area = length* width`

`A_(2)= 10(1)/(2)* 10\frac{1}4}`

`A_(2)= (21)/(2)* \frac{41}4}`

`A_(2)= (21* 41)/(2* 4)`

`A_(2)= (861)/(8)`

`A_(2) = 107.63\ square\ inches`

So, the total square inches of construction paper is given as:

`A = A_(1)+A_(2)`

Substitute
`A_(1)\ and \ A_(2)\ value`

`A=171+107.63`

A = 278.63 square inches

Therefore, Gina needs 278.63 square inches of construction paper for her project.