Answer: 972 square inches
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Step-by-step explanation:
Draw a rectangle and one diagonal. Two identical triangles form. Focus on one of those triangles.
We have a right triangle with leg a = 27 and leg b = unknown. These represent the dimensions of the rectangular TV screen.
The hypotenuse is the diagonal which is c = 45.
Let's use the pythagorean theorem to find b.
This screen is 27 inches by 36 inches.
area = length*width = 36*27 = 972 square inches