Question

the length and the breadth of a rectangular Park are in the ratio 5:2,a 2.5 m wide path running all around the outside of the park has an area of 305 sq.m. find the dimension of the park.

."ANSWER IS = 40m by 16m."
."SHOW ME EXPLLENATION"​

Answer 1

Answer:

$\red{\textbf{Answer :-L= 40m, B = 16m }}$

Step-by-step explanation:

$\textsf{Let the length of the park}$

=5a and its breadth =2a

∴ $\textsf{Area of the rectangular park=}$

⇒5a×2a =$10 {a}^{2}$

$\textsf{Width of the park=2.5}$

$\textsf{Outer length PQ=5a+2.5+2.5}$

=5a+5

$\textsf{Outer length QR=2a+2.5+2.5}$

=2a+5

$\textsf{Area of PQRS=(5a+5)(2a+5)=}$

⇒$10 {a}^{2} +35a+25$

∴$\textsf{Area of the path=}$

⇒$10 {a}^{2} + 35a + 25 - 10 {a}^{2}$

⇒$305 = 35a + 25$

⇒$35a = 305 - 25 = 280$

∴$a = \LARGE \frac{280 }{35}$

$= 8$

∴$\textsf{Length of the park=5a=5×8=40m}$

$\textsf{Breadth of the park=2a=2×8=16m}$

Answer 2

Step-by-step explanation:

the length and the breadth of a rectangular Park are in the ratio 5:2,a 2.5 m wide path running all around the outside of the park has an area of 305 sq.m. find the dimension of the park.

."ANSWER IS = 40m by 16m."

."SHOW ME EXPLLENATION"

HeeHee_

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