Question

The perimeter of a rectangle is 250cm . if the length of the rectangle is 80cm , find its breadth and area​

Answer 1

Answer:

★ The breadth and the area of the rectangle are 45cm and 3,600cm²

Step-by-step explanation:

Given :-

• The perimeter of a rectangle is 250cm
• the length of the rectangle is 80cm

To Find :-

• The breadth of the rectangle
• The area of the rectangle

Explanation :-

• Now, as we have been given the measure of the perimeter of the rectangle and the length which are 250cm and 80cm respectively and the measure of the breadth over here is unknown

— Now let's assign a suitable variable to the breadth and find its measure and later of both the dimension which are the length and breadth to find out the area of the rectangle

Assumptions :-

• Let the breadth of the rectangle be x

Formulas used :-

• Perimeter of a rectangle = 2 ( L + B )
• Area of a rectangle = L × B

Where :-

• L denotes length
• B denotes breadth

Full Solution :-

• Now let's find the breadth

$\longrightarrow \sf Perimeter \; of \; the \; rectangle = 2( l + b )\\ \\ \\ \longrightarrow \sf 250 = 2( 80 + x )\\ \\ \\ \longrightarrow \sf 250 = 160 + 2x\\ \\ \\ \longrightarrow \sf2x = 250 - 160\\ \\ \\ \longrightarrow \sf 2x = 90 \\ \\ \\ \longrightarrow \sf x = \cancel\dfrac{90}{2} \\ \\ \\ {\red{\longrightarrow{\underline{\boxed{\frak{ x = 45 }}}}\star}}$

$\therefore {\underline{\sf{ The \; measure \; of \; the \; Breadth \; of \; the \; rectangle \; is\; 45cm}}}$

• Now let's find the area of the rectangle

$\longrightarrow \sf Area \; of \; a \; rectangle = Length \times Breadth \\ \\ \\ \longrightarrow \sf Area \; of \; the \; rectangle = 250 \times 80 \\ \\ \\ {\red{\longrightarrow{ \sf Area \; of \; the \; rectangle ={\underline {\boxed{\frak{ 3600 }}}}}\star}}$

$\therefore {\underline{\sf{ The \; measure \; of \; the \; area \; of \; the \; rectangle \; is\; 3600cm^2}}}$

Answer 2

Question:

The perimeter of a rectangle is 250cm . if the length of the rectangle is 80cm , Find its breadth and area.

Given:

• Perimeter of Rectangle= 250cm
• Length of Rectangle= 80cm

To Find:

• Breadth of Rectangle.
• Area of Rectangle.

Formula to be used:

-$\sf{Perimeter\: of\: Rectangle=2(l+b)}$

-$\sf{Area\: Of\: Rectangle=l\times b}$

Where,

• “l” is length.
• “b” is Breadth.

Solution:

$\rightarrow\mathsf{Perimeter\: of\: Rectangle=2(l+b)}$

$\rightarrow\mathsf{250=2(80+b)}$

$\rightarrow\mathsf{\large\frac{250}{2}= 80+b}$

$\rightarrow\mathsf{125=80+b}$

$\rightarrow\mathsf{125-80=b}$

$\rightarrow\mathsf{45=b}$

Hence, Breadth of Rectangle is 45cm.

Now, let's find the area of Rectangle.

$\dashrightarrow\mathsf{Area\: of\: Rectangle=l\times b}$

$\dashrightarrow\mathsf{Area\: of\: Rectangle=80\times 45}$

$\dashrightarrow\mathsf{Area\: of\: Rectangle=3600}$

Hence, Area of Rectangle is 3600cm².

[Note -: Refer Attachment for Figure]

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