Solving quadratic equations word problems worksheet
The first faucet takes more than two hours longer to fill the same tank when functioning without the second tap.
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Exercise 14Ģ faucets can fill a tank in 1 hour and 20 minutes. A square of 6 cm is cut out in every corner and the rims are folded upwards to create the box. A box of 840 cm³ is constructed by using this piece of cardboard. Exercise 13Ī rectangular piece of cardboard is 4 cm longer than wide. The length of the sides of a right-angled triangle are measured as three consecutive even numbers (in cm). How many hours does it take each tap to fill the pool separately? Exercise 12 Alone, it takes tap A three hours less than B to fill the same pool. Two taps A and B fill a swimming pool together in two hours. Two natural numbers differ by two units and the sum of their squares is 580. Exercise 9Ĭalculate the dimensions of a rectangle whose diagonal is 75 m, knowing that is similar to a rectangle with sides measuring 36 m 48 m respectively. Find the width of the road if the total area of the garden and road is 540 m². Exercise 8Ī rectangular garden 50 m long and 34 m wide is surrounded by a uniform dirt road. Find the length of each side knowing that the area of the triangle is 24 m². The three sides of a right-angled triangle are proportional to the numbers 3, 4 and 5.
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To fence a rectangular farm of 750 m², 110 m of fence has been used. Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. The sum of two numbers is 5 and their product is −84. Exercise 2ĭetermine the value of k so that the two roots of the equation x² − kx + 36 = 0 are equal. Determine the quadratic equation whose solutions are 3 and −2.