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Rama09 [41]
3 years ago
14

The length of a table is 16 inches more than its width. If the area of the table is 720 square inches, of what is it’s length?

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Let the width of the table be = x inches

As the length of a table is 16 inches more than its width, so length = x+16

Area of the rectangular table = 720 square inches

Area of rectangle = length*width

720=x(x+16)

720=x^{2}+16x

x^{2}+16x-720=0

x^{2}+36x-20x-720=0

x(x+36)-20(x+36)=0

(x-20)(x+36)=0

x=20 and x=-36

Neglect the negative value as length and width cannot be negative

So, width = 20 inches

Length = x+16 = 20+16 = 36 inches

Hence, length is 36 inches and width is 20 inches.


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