lled of the park including the path (8x + 3) (5x+3) m²
Area of the path = {(8x + 3) (5x+3) - 40x²1 m²
(9x + 9)
But, area of the path = 594 m (given)
39x + 9 = 594 = 39* = 585
585
39 = 15
length of the park = (815) m = 120 m
and breadth of the park = (5 15) m = 75 m
EXERCISE 14
Find the area of the triangle whose base measures 24 cm and the
corresponding height measures 14.5 cm.
2. The base of a triangular field is three times its altitude. If the cost of
sowing the field at 58 per hectare is 783, find its base and height
3. Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm in
length. Hence, find the height corresponding to the longest side.
4. Calculate the area of the triangle whose sides are 18 cm, 24 cm and
30 cm in length. Also, find the length of the altitude corresponding to
the smallest side.
5. Find the area of a triangular field whose sides are 91 m, 98 m and 105 m
rresponding to the longest side .
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