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The length of a rectangle is 8 more than the width. The area is 65 square centimeters. Find the length and width of the rectangle.

Sagot :

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Answer: The width of the rectangle is 5 cm and the length is 13 cm

Step-by-step explanation:

Let the width be x cm

Let the length be (x+8) cm

Area = 65cm²

[tex]\Rightarrow x(x+8)=65 \ [\because$ Area of rectangle $=$ length $\times$ width $]$ \\$\Rightarrow x^{2}+8 x-65=0 \Rightarrow x^{2}+13 x-5 x-65=0$ \\$\Rightarrow x(x+13)-5(x+13)=0 \Rightarrow(x+13)(x-5)=0$ \\$\Rightarrow x=-13$ or $x=5$ \\But width car't be negative. so $x=5$ \\[/tex]

Therefore:

Width = 5 cm

Length = 5 + 8 = 13 cm

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