The length of a rectangle is 13 centimeters less than five times its width. its area is 28 square centimeters. find the dimensions of the rectangle. the width is nothing ▼ and the length is nothing ▼

we have given that length of a rectangle is 13 cm less that five times its width.

where l is length and b is width.

we need to set up an equation according to the problem statement.

l=5b-13

we have area =28cm^2

we know that l*b=28

(5b-13)*b=28

5b^2-13b-28=0

we need to solve it by formula

we get (5b-20)(5b+7)=0

b=4 and b=-7/5 so negative value cannot be chosen so b=4

and l=5b-13=20-13=7.

l=7

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.