Suppose you know the base of a rectangle has a length of 12 inches and a diagonal has a lenght of 13 inches. find the area of the rectangle

We are given

length=l=12inches

diagonal =d=13inches

Let's assume

width=w

so, firstly we need to find width

we know that length , width and diagonal form right angled triangle

so, we can use Pythagoras theorem

now, we can plug values

now, we can find area of rectangle

Area = length*width

now, we can plug values

.............Answer

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.