The triangular side walls of a flyover have b | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The sides of the triangular side walls of the flyover are $a = 13 \, m$,$b = 14 \, m$,and $c = 15 \, m$.First,we calculate the semi-perimeter $s$:

Vedclass · Accepted Answer

$84000$

Vedclass · Answer

(D) The sides of the triangular side walls of the flyover are $a = 13 \, m$,$b = 14 \, m$,and $c = 15 \, m$.First,we calculate the semi-perimeter $s$:$s = \frac{a + b + c}{2} = \frac{13 + 14 + 15}{2} = \frac{42}{2} = 21 \, m$.Using Heron's formula,the area of the triangle is:$	ext{Area} = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{21(21 - 13)(21 - 14)(21 - 15)}$$= \sqrt{21 	imes 8 	imes 7 	imes 6} = \sqrt{(3 	imes 7) 	imes (2^3) 	imes 7 	imes (2 	imes 3)}$$= \sqrt{7^2 	imes 3^2 	imes 2^4} = 7 	imes 3 	imes 2^2 = 84 \, m^2$.The annual rent is $Rs \, 2000$ per $m^2$.The rent for $1 \, m^2$ for $6$ months (half a year) is $Rs \, \frac{2000}{2} = Rs \, 1000$.Therefore,the total rent for $84 \, m^2$ for $6$ months is $84 	imes 1000 = Rs \, 84,000$.

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are $13 \, m$,$14 \, m$,and $15 \, m$. The advertisements yield an earning of $Rs \, 2000$ per $m^2$ a year. $A$ company hired one of its walls for $6$ months. How much rent did it pay? (in $Rs$)

Similar Questions

For a plank in the shape of a parallelogram,the adjacent sides measure $12 \, cm$ and $17 \, cm$,and one of its diagonals measures $25 \, cm$. Find the cost of painting the plank at the rate of Rs. $3$ per $cm^2$.

In a trapezium $ABCD$, $AB \parallel CD$. If $AB = 30 \, cm$, $BC = 17 \, cm$, $CD = 20 \, cm$, and $DA = 9 \, cm$, then find its area. (in $cm^2$)

The sides of a triangle are $35 \text{ cm}$,$54 \text{ cm}$,and $61 \text{ cm}$,respectively. The length of its longest altitude is:

$A$ field in the form of a parallelogram has sides $60 \, m$ and $40 \, m$ and one of its diagonals is $80 \, m$ long. Find the area of the parallelogram.

In quadrilateral $ABCD$,$AB = 9 \, cm$,$BC = 13 \, cm$,$CD = 14 \, cm$,$DA = 12 \, cm$,and $BD = 15 \, cm$. Find the area of quadrilateral $ABCD$ in $cm^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module