The width of the desk is 55 cm less than the length. Calculate the area of the desk if its perimeter is 370.

| July 15, 2021 | education

Consider the condition of this problem. When solving, geometric formulas will be applied – the formula for the perimeter of a rectangle since the writing desk has a rectangular shape. Let’s find a solution to the task by actions with detailed explanations for each of them:

1.The perimeter of the rectangle = 2 × (width + length). Let the width of the table be x cm, then the length of the table is (x + 55) cm.Let’s make and solve the equation: 2 × (x + x + 55) = 370, 2x + 2x + 110 = 370, 4x = 370 -110, 4x = 260, x = 260 ÷ 4, x = 65 cm. Hence the width of the table is 65 cm, and the length is 65 + 55 = 120 cm.

2. Area of ​​the rectangle = width × length. Substitute the numerical values ​​into the formula and calculate what the area is equal to: area = 55 × 65 = 3575 cm2.

Answer: the table area is 3575 cm2.



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