Latihan 2.1.8
1. A rectangle has length 3 cm longer than its width, its area 42 CM2. find the width.
2. Two integer differ by 12 and the sum of their squares is 74. Find the integers.
3. The sum of a number and its reciprocal is 5. Find the number.
4. The sum of natural number and its square is 210. Find the number.
5. The product of two consecutive even numbers is 360. Find the number.
6. The product of two consecutive odd numbers is 255. Find the numbers.
7. The number of diagonals of an n-sided polygon is given by the formula D=(n−3). A polygon has 90 diagonals. How many sides does it have?
8. A rectangle box has a square base and its height is 1 cm longer than length of one side of its base. If x cm is the length of one side of its base,
a. show that its total surface area, A, is given by A=(6x+4x) cm2.
b. If the total surface area is 240 cm2, find the dimensions of the box.
9. An open box contains 80 cm3 and is made from a square piece of tinplate with 3 cm squares cut from each of its 4 corners. Find the dimension of the original piece of tinplate.
10. Is it possible to bend a 12 cm length of wire to form the legs of a right angled triangle with area 20 cm2?
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