The perimeter of a rectangle is 108cm. The ration of its length to its width is 7:2 what is the area of the rectangle in cm2?
1 answer:
Answer:
504 cm²
Step-by-step explanation:
Let the length and the width of the rectangle be L cm and W cm respectively.
Perimeter= 2(L +W)
2(L +W)= 108
L +W= 108 ÷2
L +W= 54
L= 54 -W -----(1)
<em>Cross multiply:</em>
2L= 7W -----(2)
Substitute (1) into (2):
2(54 -W)= 7W
<em>Expand:</em>
108 -2W= 7W
<em>+2W on both sides:</em>
9W= 108
<em>Divide both sides by 9:</em>
W= 108 ÷9
W= 12
<em>Substitute W= 12 into (1):</em>
L= 54 -12
L= 42
Area of rectangle
= length ×width
= LW
= 42(12)
= 504 cm²
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ANSWER
EXPLANATION
We write the function such that both the numerator and the denominator are prime.
An example of a rational function with no vertical asymptotes and no holes is
For the above rational function, the denominator is never zero, so there are no vertical asymptotes.
Also the highest common factor for the numerator and the denominator is 1 so there are no holes.