David made a class banner out of a large rectangular piece of paper. He cut a
triangular piece out of one side, as pictured below,
14 in
11in
3 in
14 in
What is the area, in square inches, of the banner?
210
105
100
97

Respuesta :

Answer: 100 square inches

Step-by-step explanation:

Shape 1: (B1+ B2)×h divided by 2

(14+11)×5 divided by 2

(25 × 5)÷2

125÷2

62.5 sqsquare inches

Shape 2: (B1+ B2)×h divided by 2

(11+14)×3 divided by 3

(25×3)÷2

75÷2

37.5 square inches

62.5 + 37.5= 100 square inches

The area of the banner given the dimensions of the triangle is 100 square inches.

How to find area of the banner

Triangle A = (a + b) × h ÷ 2

= (11+14) × 5 ÷ 2

= (25 × 5) ÷ 2

= 125 ÷ 2

= 62.5

Triangle B = (a + b) × h ÷ 2

= (11+14) × 3 ÷ 2

= (25 × 3) ÷ 2

= 75 ÷ 2

= 37.5

Area of the banner = 62.5 + 37.5

= 100 square inches

Learn more about area of a triangle:

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