Math problem diagonal, perimeter

Question

The peimeter of a rectangle is 46 inches and diagonal is 17 in. find the area. HELP ME please

Answer 1

Let x and y be the dimensions of the rectangle.

Since the perimeter is 46, 2x + 2y = 46, or x + y = 23 (y = 23 - x)

Draw a diagonal of 17 to form a right triangle. by Pythagorean theorem x² + y² = 17².

Substitute 23 - x for y and solve for x.

x² + (23 - x)²=289

You can take it from here.

Once you have values for x and y, multiply those values to get the area of the rectangle.