the length of the rectangular room is 4 more than 2 times width. if the perimeter of the room is 200 cm find its dimensions
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Answer:
length : 68 width : 32
Step-by-step explanation:
The equation would be:
(4+2x) + x + (4+2x) + x = 200
then you would collect the x terms as:
2x + 2x + x + x = 6x
then the numbers:
4+4 = 8
so the simplified equation would be:
6x + 8 = 200
then you would sove the equation as so:
move 8 to the other side to leave the x alone
6x = 200-8 (if you move a number to the other side of the equal sign it changes its sign)
6x = 192
to leave x alone you divide both sides with 6 so:
6x ÷ 6 = 192 ÷ 6
the two sixes cancels out each other so
x = 32
the you replace the 32 in the equation in the place of x so the length would be 4 + 32 x 2 = 68.
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