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2 years ago

2 cm

Mathematics

1 answer:

BigorU [14]2 years ago

7 0

Answer:

34 cm squared

Step-by-step explanation:

You would need to fill in the cut out part of the shape. Find the area of the whole shape minus the area of the cut out shape.

Area of the bigger shape :6*9 =54cm squared

Area of the cut out shape:4*4=20cm squared

<h3>Area of the whole shape is 54 - 20 = 34cm squared</h3>

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Step-by-step explanation:

Q1)

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$(AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20} \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}$

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$CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4$

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$BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218} \\\\BC=\sqrt{218} \\\\BC=14.76$

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

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