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What is the diagonal and perimeter of a rectangle when its sides are in the ratio 8 to 15 with an area of 367.5 square cm showing all work in step by step stages?
Wiki User
∙ 10y ago
1 Let the sides be 8x and 15x
2 So: 8x*15x = 367.5 or 120x2 = 367.5
3 Divide both sides by 120 and then square root both sides
4 Therefore: x = 1.75 so sides are 8*1.75 = 14 cm and 15*1.75 = 26.25 cm
5 Check: 14*26.25 = 367.5 square cm
6 Using Pythagoras: 142+26.252 = 885.0625 and its square root is 29.75
7 Diagonal = 29.75 cm
8 Perimeter = (2*14)+(2*26.25) = 80.5 cm
Wiki User
∙ 10y ago
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