Length of a rectangle is 7 less than 3 times it’s width. Area is 40cm^2. Find dimensions URGENT

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14-01-2022
Mathematics

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Length of a rectangle is 7 less than 3 times it’s width. Area is 40cm^2. Find dimensions URGENT

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ihatebiologysm ihatebiologysm · Answer 1 · 2022-01-14T10:44:06+01:00

ihatebiologysm ihatebiologysm

14-01-2022

x= width
length= 3x-7
Area: (x)(3x-7)=40
= 3x^2-7x=40
= 3x^2-7x-40=0
Factorise the equation: (3x+8)(x-5)=0
x=-8/3 (reject because width cannot be negative) or x=5
so width is 5cm and length is 3(5)-7= 8cm !

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