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<u>Let's solve this problem step by step</u>
<u /> | Given Equation
| Distributive Property of Multiplication over subtraction
| Subtraction Property of Equality
| Subtraction Property of Equality
| Division Property of Equality
<em>Definition of each property</em>:
- <u><em>Distributive Property of Multiplication over subtraction</em></u><em>: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.</em>
- <u><em>Subtraction Property of Equality</em></u>:<em> if the same value is subtracted from two equal sides, the differences remain the same</em>
- <u><em>Division Property of Equality</em></u><em>: if the same value is divided from two equal sides, the equation remains the same</em>
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Hope that helps!
<u>Given:</u>
A triangular piece is cut out of a rectangular piece of paper to make the class banner.
<u>To find:</u>
The area of the class banner.
<u>Solution:</u>
The rectangular piece of paper is 14 inches long and inches wide.
From the given diagram, the triangle has a base length of the same 8 inches and has a height of inches long.
To determine the area of the banner, we subtract the area of the triangle from the area of the rectangle.
The area of a triangle
The area of the triangle square inches.
The area of a rectangle
The area of the rectangle square inches.
The area of the class banner square inches.
So the banner has an area of 100 square inches which is the first option.