the area of rectangle is 12 square inches and its diagonal is 5 inches. Find the length and the width of the rectangle.

Question

need this question done asap. 

thank you

Answer 1

if you think of a rectangle as two triangles you will understand what the diagonal is for.

5 is the hypotenuse of the triangle 

if the area of the rectangle is 12 the possible side lengths are

1 and 12

2 and 6

3 and 4

to see what fits you need the Pythagorean formula a^2 + b^2 = c^2

if c^=25 it cant be the first two because 12^2 and 6 ^2 are more than 25 which needs to be the largest

so the side lengths are 3 and 4

3*4= 12 and 3^2 + 4^2 = 5^2