Question

The length of a rectangle is 2 cm wider than the width. If the area of ​​the rectangle is 120 square cm, what is the perimeter of the rectangle?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\sf\mathbb\color{red} {⟹}\sf\mathbb\color{green} {the \: perimeter \: of \: the \: rectangle \: is \: 124cm}$

Step-by-step explanation:

$\sf\mathbb\color{purple} { \:given : }$

• Length of the rectangle 2cm
• Area of the rectangle 120 square cm

$\sf\mathbb\color{violet} { \: </strong><strong>to</strong><strong> </strong><strong>find</strong><strong> </strong><strong>: }$

• Perimeter of the rectangle

$\sf\mathbb\color{brown} { \: </strong><strong>to</strong><strong> </strong><strong>find</strong><strong> </strong><strong>\ \: : }$

Let the perimeter of the rectangle be P

The length of the rectangle is 2cm (given)

and area of the rectangle is 120 square cm (given)

We know the formula of perimeter

$\sf\mathbb\color{gray} {⟹p = 2(l + w)}$

Since area of rectangle is 120 square cm

Therefore,

$\sf\mathbb\color{brown} {⟹p = 2l + 2 \frac{a}{l} }$

$\sf\mathbb\color{red} {⟹2 \times 2 + 2 \times \frac{120}{2} }$

$\sf\mathbb\color{violet} {⟹4 \times 2 \times \frac{120}{2} }$

$\sf\mathbb\color{pink} {⟹4 \times 120}$

$\sf\mathbb\color{green} {⟹124cm}$

Hence perimeter of rectangle is 120 square cm