The area of a rhombus is42m if the peremetre is 24cm find the altitude
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Answer: altitude is 14cm
Step-by-step explanation:
area = a x b
perimeter = a + a + b + b
Area = a x b
42 = a x b
a = (42/b)
substitute a into perimeter formula
perimeter = a + a + b + b
24 = 2(42/b) + 2b
12 = 42/b + 2b
12b = 42 + 2b²
2b² -12b + 42 = 0
b² -6b + 21 = 0
(b-3)(b-3)=0
b = 3
a= 42/b
a= 42/3
a = 14
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