Question

110
Class-X Mathematics
Example 10. A rectangular park is to be designed whose breadth is 3 m less than its le
shape of an isosceles triangle with its base as the breadth of the rectangular park and of as
12 m (see Fig. 5.3). Find its length and breadth.
lar park be x m.​

Answer 1

Answer:

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Step-by-step explanation:

Let the breadth of the rectangular park be x m. So, its length = (x + 3) m.

Therefore, the area of the rectangular park = x(x + 3) m2 = (x2 + 3x) m2.

Now, base of the isosceles triangle = x m. Therefore, its area =1/2× x × 12 = 6 x m2. According to our requirements, x2 + 3x = 6x + 4 i.e., x2 – 3x – 4 = 0

USING QUADRATIC FORMULA WE GET,

$x = 3 + \sqrt{25 } \div 2$

$3 + 5 \div 2$

$= 4 \: or \: - 1$

but x is not equal to 1

✓therefore x=4

breadth=4m

length=7m

keep smiling:)

thanks for asking;)