Question

the perimeter of a rectangle is 130 cm . if the breadth of the rectangle is 30 cm find it's length .also find the area of the rectangle
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Answer 1

Answer:

Length = 45cm; Area =  1350

Explanation:

Perimeter of rectangle = 2(l + b)

130 = 2(l + 30)

130 = 2l + 60

130 - 60 =2l

70/2 = l

45cm = Length

Area of Rectangle = l * b

Area = 45 * 30

Area = 1350 sq.cm

Length = 45cm

Area = 1350 sq.cm

Note: sq.cm

        = $cm^{2}$

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Answer 2

Answer :

The area of the Rectangle is 1050 cm²

Step-by-step explanation :

Given :

Perimeter = 130 cm

Breadth = 30 cm

To find :

The length of the rectangle and its area

Solution :

$\textsf{\underline{\underline{Length -}}}$

Let the length by as y

★ Perimeter = 2(Length + Breadth)

$\tt{\implies} \: 130 = 2(30 + y) \\ \\ \tt{\implies} \: 130 = 60 + 2y \\ \\ \tt{\implies} \: 130 - 60 = 2y \\ \\ \tt{\implies} \: 70 = 2y \\ \\ \tt{\implies} \: y = \dfrac{70}{2} \\ \\ \tt{\implies} \: y = 35$

Length = 35 cm

$\rule{300}{1.5}$

$\textsf{\underline{\underline{Area of the rectangle - }}}$

★ Area = Length × Breadth

$\tt{\implies} \: 35 \times 30 \\ \\ \tt{\implies} \: 1050$

Area = 1050 cm²

$\therefore$ The area of the Rectangle is 1050 cm²