Question

If xcm is the length of a rectangle and ycm is the width, write down a formula for p if the perimeter of the rectangle is z.

Give explanation

Answer 1

It’s given -

• Length of the rectangle is x cm.
• Width of the rectangle is y cm.
• Perimeter of the rectangle is z cm.

Here, we are asked to figure out the formula of Perimeter of the rectangle.

We know that,

`\small \underline{ \boxed{ \sf{ \pmb{Perimeter _((rectangle)) = sum\: of \:all \:the \: sides\: of\: rectangle }}}}\\`

`\longmapsto \sf { \pmb{Perimeter _((rectangle)) = x +y +x +y }}\\`

`\longmapsto \sf {\pmb{Perimeter _((rectangle)) = 2x +2y} }\\`

`\longmapsto \sf {\pmb{Perimeter _((rectangle)) = 2(x+y)\:cm}}\\`

`\longmapsto \sf {\pmb{z= 2(x+y)\:cm}}\\`

`\longmapsto \boxed{ \tt{ \pmb{ \red{\pmb{Perimeter _((rectangle)) = 2(Length+Width)}}}}}\\`

`\\ \therefore \underline{ \cal{ \pmb{Formula \: of \: perimeter \: for \:a \:rectangle \: is \: \frak{\purple{ 2(Length+Width)\: }. }}}}\\`

Know More :-

• Area of rectangle = Length × Breadth sq.units
• Area of square = (Side)² sq.units
• Area of parallelogram = Base × Height sq.units
• Area of triangle = ½ × (Base × Height) sq.units
• Area of trapezium = ½ × (Sum of parallel sides) × Height sq.units
• Volume of cube = (Side)³ cube.units
• Volume of sphere = 4/3 πr³ cube.units

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