Answered

Discover new information and get your questions answered with IDNLearn.com. Ask any question and get a detailed, reliable answer from our community of experts.

If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. find the area of the original square.

Sagot :

Zerospear0idn

Answer: Shown below

Step-by-step explanation:

Since it's a square, we will refer to its values as x. Using that, we can make an equation for the rectangle.
(x + 15) * ( x - 13) = 60

We can expand it and simplify so that we get a zero on one side and a polynomial on the other.

(x + 15)(x - 13) - 60 = 0

x² + 2x - 225 = 0

We simplify the binomial so we get two answers for x.

(x - 15)(x + 17) = 0

x = 15 and -17

Now we have two answers. So which one is right? Well, the sides cannot be negative, therefore we must use 15 and not -17.

15² = 225

Our answer is 225

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.