Define all variables Write correct equation solve equation correctly answer the

Question

Define all variables Write correct equation solve equation correctly answer the question with a sentence The legnth of a rectangle is 4 inches less than twice itswidth. If the width were increased by 3 inches and the legnthincreased by 5 inches, the new area would be 35 square inches. Whatwere the origional dimensions? Define all variables Write correct equation solve equation correctly answer the question with a sentence The legnth of a rectangle is 4 inches less than twice itswidth. If the width were increased by 3 inches and the legnthincreased by 5 inches, the new area would be 35 square inches. Whatwere the origional dimensions?

Explanation / Answer

let x = width let y = length y = 2x - 4 new width = x + 3 new length = y + 5 A = (width)(length) = 35 (x+3)(y+5) = 35 You know y: (x + 3)(2x-4 + 5) = 35 (x+3)(2x + 1) = 35 FOIL: 2x2 + x + 6x + 3 = 35 2x2 + 7x + 3 = 35 2x2 + 7x - 32 = 0 Use quadratic formula to solve for x: x = 2.62 inches So y = 2x - 4 = 2(2.62) - 4 = 1.24 inches The original dimensions of the rectangle are 2.62 inches in widthand 1.24 inches in length.

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