Laura is creating the following design out of wood. For it to be light enough, she needs its area to be less than 80 square inches. Will Laura's design be light enough? Justify your answer 9 in 5 in 5 in 11 in

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03-01-2022
Mathematics

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Laura is creating the following design out of wood. For it to be light enough, she needs its area to be less than 80 square inches. Will Laura's design be light enough? Justify your answer 9 in 5 in 5 in 11 in

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Answer:

49

Step-by-step explanation:

The area of a shape is the amount of space it can occupy.Laura's design will be light enoughThe shape is given as a trapezium (see attachment).First, calculate the height (h) of the trapezium using the following Pythagoras theorem 52=h2+x2 Where: x=11−92=1 So, we have: 52=h2+x2 52=h2+1225=h2+1 Collect like terms h2=25−1 h2=24 Take square root sh=4.90The area of the shape is then calculated as follows: Area=12(11+9)×h Area=12(11+9)x4.90 Area=12×20×4.90 Area=10×4.90 Area=49

The area of the shape is 49 square inches.Hence, the shape will be light enough (because 49 is less than 80

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