Question

Instructions:Select the correct answer from each drop-down menu. The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of ∆ABC. The expression that gives the perimeter of ∆XYZ is . If the area of ∆ABC is n square units, the area of ∆XYZ is square units

Answer 1

Answer:

The sides of ∆ABC are 30 units, 40 units, and 60 units long.

The perimeter will be = $30+40+60=130$ units

Given is that ∆ABC and ∆XYZ are similar and the corresponding sides of ∆XYZ are 'r' times as long as the sides of ∆ABC.

So, perimeter of ∆XYZ will be : $130\times r=130r$ units.

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The area of ∆ABC is n square units, so area of ∆XYZ will be :

$\frac{1}{2}(r\times height)(r\times base)$

= $n\times r\times r$

= $nr^{2}$ square units.