the perimeter of rectangle is 62/5 work out the area
Answers
Answer:
Let's use the variable w to present the width.
Since the length is "5 cm less than three times the width", we can write the following
expression for the length: 3w - 5
Now using the perimeter of 62 cm and recalling that perimeter is: P = 2 * length + 2 * width:
62 = 2(3w - 5 ) + 2(w)
We can solve this equation for w using the distributive property and inverse operations:
62 = 6w - 10 + 2w
62 = 8w - 10
62 + 10 = 8w - 10 + 10
72 = 8w
72/8 = 8w/8
9 = w
The width will be 9 cm.
The length will be 3w - 5 OR 3 * 9 - 5 = 27 -5 = 22
The length will be 22 cm.
To verify, the perimeter is:
22 + 22 + 9 + 9 = 44 + 18 = 62
Step-by-step explanation:
Perimeter= 2(l+b)
62/5 = 2(l+b)
31/5 = l+b
31/5-b = l
Area= b×l
= b x (31-5b)/5
= (31b-5b²)/5
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