The perimeter of a rectangular painting is 346cm.If the width of the painting is 81cm, what is its length?
Question
The perimeter of a rectangular painting is 346cm.If the width of the painting is 81cm, what is its length?
Solution
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Given: P = 346 cm w = 81 cm
We can substitute these values into the formula:
346 = 2l + 2(81)
Solving for l:
346 = 2l + 162
Subtract 162 from both sides:
346 - 162 = 2l
184 = 2l
Finally, divide both sides by 2 to solve for l:
l = 184 / 2
l = 92 cm
So, the length of the painting is 92 cm.
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