SOLUTION: a piece of wire 80 cm long is bent to form a rectangle whose length is 3 times its width the area of rectangle thus form is?

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Question 1022022: a piece of wire 80 cm long is bent to form a rectangle whose length is 3 times its width the area of rectangle thus form is?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the length of the rectangle is +L+
and the width is +W+, then the formula
for circumference, +C+, is:
+C+=+2L+%2B+2W+
given:
+L+=+3W+
By substitution:
+C+=+2%2A3W+%2B+2W+
+C+=+6W+%2B+2W+
+C+=+8W+
+80+=+8W+ cm
+W+=+10+
--------------
+L+=+3W+
+L+=+30+
--------------
Let +A+ = area
+A+=+L%2AW+
+A+=+30%2A10+
+A+=+300+
The area is 300 cm2
-------------------
check:
+C+=+2L+%2B+2W+
+C+=+2%2A30+%2B+2%2A10+
+C+=+60+%2B+20+
+C+=+80+ cm
OK