Question

The diagonal of a rectangle measures 13 meters, what is the area of the rectangle if its length is 7 meters more than its width? What is the area of each triangle formed? Draw the figure

Answer 1

Can you draw the figure?

We have a rectangle. The diagonal is 13

If we call the width 'x'
Then the length is 7 more than the width which means it's 7 + x

Remember that the area of a rectangle is equal to length * width

And the area of a triangle is equal to 1/2 * base of the triangle * height
or in this case 1/2 * length * width
(since the width is the height and the length is the base of the triangle)

Answer 2

We also have to use the Pythagorean theorem to calculate the width and length



We're going to get a quadratic that we have to solve when you plug in x, x+7, and 13 in as `a`, `b`, and `c` respectively

Answer 3

Then once you know the width and length, you can find the area of the rectangle and triangle using the formulas I told you earlier