![]() ![]() Find the length of each side knowing that the area of the triangle is 24 m².Ī rectangular garden 50 m long and 34 m wide is surrounded by a uniform dirt road. The three sides of a right-angled triangle are proportional to the numbers 3, 4 and 5. The dimensions of the farm are 30 m and 25 m. 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. How long does it take to fill each one separately?ĭetermine the quadratic equation whose solutions are: 3 and −2.ĭetermine the value of k so that the two roots of the equation x² − kx + 36 = 0 are equal.įind more learn Maths online here on Superprof. The first faucet takes more than two hours longer to fill the same tank when functioning without the second tap. 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. 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. ![]()
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