Question 473522
the horizontal sides of a rectangle are one half the length of the side of a particular square. The vertical sides of the rectangle are 4 cm more than 3 times the side of the square. If the perimeter of the rectangle is twice the perimeter of the square, what are the demensisions of the rectangle
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let x=horizontal side of rectangle
3(2x)+4=6x+4=vertical side of rectangle
2(6x+4)+2x=14x+8=perimeter of rectangle
..
2x=side of square
4(2x)=8x=perimeter of square
..
(14x+8)/8x=2
14x+8=16x
2x=8
x=4
ans:
dimensions of rectangle:
horizontal side: 4 cm
vertical side:6x+4=24+4=28 cm