Question

The parameter of a rectangular field and a square field are same if one side of rectangular field is 9 and one side of a square field is 7 and find the area of a rectangular field and the total area of both the fields.​

Answer 1

Solution

Given :-

• The parameter of a rectangular field and a square field are same
• One side of rectangle = 9 units
• Side of Square = 7 units

Find :-

• Area of rectangle
• Total Area of both

Explanation

Using Formula

$\dag\boxed{\underline{\tt{\red{\:Area_{Square}\:=\:(Side)^2}}}}$

$\dag\boxed{\underline{\tt{\orange{\:Area_{rectangle}\:=\:(Length\times Breadth)}}}}$

$\dag\boxed{\underline{\tt{\blue{\: Perimeter_{rectangle}\:=\:2\times (Lenght+Breadth)}}}}$

$\dag\boxed{\underline{\tt{\green{\: Perimeter_{square}\:=\:4\times (Side)}}}}$

According to question,

==> perimeter of rectangular field = Perimeter of squay

==> 2×(Lenght + Breadth) = 4 × (Side)

==> ( 9 + Breadth) = 2 × 7

==> Breadth = 14 - 9

==> Breadth = 5 unit

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Now, Calculate area

==> Area of square = (Side)²

==> Area of square = 7²

==> Area of square = 49 unut²

Again,

==> Area of rectangular field = (Length × Breadth)

==> Area of rectangular field = 9 × 5

==> Area of rectangular field = 45 units²

Now, Calculate total area,

==> Total both area = Area of square + Atea of rectangular field

==> Total Both area = 49 + 45

==> Total Both Area = 94 unit²

Hence

• Total area will be = 94 units²

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