Arectangular painting has a diagonal measure of 26 inches and an area of 240 square inches. use the formula for the area of a rectangle and the pythagorean theorem to find the length and width of the painting

ANSWER

The length is 10 inches and the width is 24 inches

EXPLANATION

The diagonal of the rectangular painting is d=26 inches.

Let l and w be the length and width of the painting respectively.

From Pythagoras Theorem,

Its area is 240 square inches.

This implies that,

Put equation (2) into (1).

This implies that,

Take positive square root to get,

When w=24,

when w=10

Hence the length is 10 inches and the width is 24 inches.

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