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The length of a rectangle is 5cm more than the breadth. If the perimeter of the rectangle is 40cm, find the area of the rectangle.

Answer» <html><body><p><strong>Answer:</strong></p><p>The <a href="https://interviewquestions.tuteehub.com/tag/area-13372" style="font-weight:bold;" target="_blank" title="Click to know more about AREA">AREA</a> of the rectangle is 93.75 cm² .</p><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>Let,</p><p>The <a href="https://interviewquestions.tuteehub.com/tag/breadth-903817" style="font-weight:bold;" target="_blank" title="Click to know more about BREADTH">BREADTH</a> of a rectangle = x</p><p>The <a href="https://interviewquestions.tuteehub.com/tag/length-1071524" style="font-weight:bold;" target="_blank" title="Click to know more about LENGTH">LENGTH</a> of a rectangle = x + 5</p><p>The perimeter of a rectangle = 40cm</p><p>So,</p><p>Perimeter = 2 ( length + breadth)</p><p>⇒ 2 ( x + x + 5) = 40</p><p>⇒ 2x + 2x + 10 = 40</p><p>⇒ 4x + 10 = 40</p><p>⇒ 4x = 40 - 10</p><p>⇒ 4x = 30 </p><p>⇒ x = 30 / 4</p><p>⇒ x = 7.5</p><p>Therefore,</p><p><strong>The breadth of a rectangle = 7.5 cm</strong></p><p>The length of a rectangle = x + 5</p><p>⇒ 7.5 + 5</p><p>⇒ 12.5</p><p>.°. <strong>The length of a rectangle = 12.5 cm</strong></p><p>Now,</p><p>Find the area of the rectangle</p><p>The area of the rectangle = (l × <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>)</p><p>⇒ (length × breadth) </p><p>⇒ 12.5 × 7.5</p><p>⇒ 93.75 cm²</p><p>Therefore,</p><p><strong>The area of the rectangle is 93.75 cm² .</strong></p><p></p><p></p></body></html>


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