The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm. Show that ia + 91 +b=0 where a and b are integers to be found.​

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

Let's put w in terms of x. Divide both sides by two:

And solve for w:

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

Simplify and substitute:

Square:

Isolate the equation. So:

Since the leading coefficient is one, divide both sides by two:

Therefore, a = -10 and b = 18.

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

the solution is 12x-6y