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The perimeter of a rectangle is 72 mm. The height is three more than two times the base. What is the area?
Mathloser14
perimeter = 2h + 2b ....where h = height and b = base
you say that the h = (2b+3) so 2h=2x(2b+3)
so substitute that in and we have:
perimeter = (2 x (2b +3)) + (2 x b)
multiplying out gives perimeter = 4b + 6 + 2b = 6b+6
now we know the perimeter = 72mm = 6b+6
taking the 6 off both sides we get 6b=66mm
divide by 6 and we find b=11mm
we know h = 2b + 3 and that b=11 so h=22+3=25mm
now Area of a rectangle = b x h = 11mm x 25mm = 275mm^2
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