Question

b) The perimeters of a square field and a rectangular field are the same. If one side of
the rectangular field is 18 m and one side of the square field is 15 m, find:

(i) the area of the rectangular field and
(ii) the total area of both the fields.

❣❣please answer me
paper online hai na right answer please​

Answer 1

Answer:

Side of square = 15m

Perimeter of square = 4×side

= 4×15

= 60m

Perimeter of rectangle = 2(l+b)

= 60m

(i) length of rectangle = 18m

breadth of rectangle = 2(18+b) = 60

60÷2 = 18+b

30 = 18+b

b = 30-18

= 12m

Area of rectangle = l×b

= 12×18

= 216m²

(ii) Area of square = side×side

= 15×15

= 225m²

mark as brilliant

Answer 2

$\large\sf\underline{Given\::}$

• Perimeter of square field = Perimeter of rectangular field

• One side of rectangular field = 18 m

• One side of square field = 15 m

‎

‎

$\large\sf\underline{To\:find\::}$

• Area of rectangular field

• Total area of both the fields

‎

‎

$\large\sf\underline{Formula\:to\:be\:used\::}$

• Area of square = $\sf\:(side) ^{2}$

• Area of rectangle = $\sf\:length \times breadth$

• Perimeter of square = $\sf\:4 \times side$

• Perimeter of rectangle = $\sf\:2(l+b)$

‎

‎

$\large\sf\underline{Solution\::}$

$\sf\:Perimeter\:of\:square\:=\:4 \times 15$

$\sf\dashrightarrow\:Perimeter\:of\:square\:=\:60\:m$

‎

$\sf\dashrightarrow\:Perimeter\:of\:rectangular\:field\:=\:2(18+b)$

‎

According to the question :

Perimeter of square field = Perimeter of rectangular field

‎

• Substituting the values we got

‎

$\sf\to\:60=2(18+b)$

$\sf\to\:60=36+2b$

‎

• Transposing 36 to the other side

‎

$\sf\to\:60-36=2b$

$\sf\to\:24=2b$

‎

• Transposing 2 to the other side

‎

$\sf\to\:\cancel{\frac{24}{2}}=b$

$\sf\to\:b\:=\:12\:m$

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So now let's find the area of square and rectangular field :

$\sf\:Area\:of\:square\:=\:15^{2}$

$\sf\:Area\:of\:square\:=\:225\:sq.m$${\sf{{\pink{★}}}}$

‎

$\sf\:Area\:of\:rectangular\:field\:=\:18 \times 12$

$\sf\:Area\:of\:rectangular\:field\:=\:216\:sq.m$${\sf{{\pink{★}}}}$

‎

$\sf\:Total\:area\:=Area\:of\:(square+rectangle)$

$\sf\leadsto\:Total\:area\:=225+216$

$\small\fbox\red{Total\:area\:=\:441\:sq.m}$ ${\sf{{\pink{★}}}}$

‎

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⠀‎⠀⠀⠀$\tt\blue{Final\:Answers\::}$

• Area of rectangle = 216 sq.m

• Total area of both the fields = 441 sq. m

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!! Hope it helps !!