# Find the length of a rectangle with a perimeter of 10 cm and a width of 2 cm. Draw and calculate the area.

July 24, 2021 | education

| Given:

The perimeter of the rectangle is 10 cm;

The width of the rectangle is 2 cm;

The length of the rectangle is? cm;

The area of the rectangle is? cm²;

Let’s recall the formula for the perimeter of a rectangle:

P = 2 * (a + b);

Let us derive the value of the length of the rectangle from this formula, and then find it:

a = p / 2 – b;

a = 10/2 – 2;

a = 5 – 2;

a = 3 cm – the length of the rectangle;

Now let’s remember the area formula:

S = a * b;

Let’s use this formula and find the area of our rectangle:

S = 3 * 2;

S = 6 cm² – area;

Answer: 3 cm; 6 cm².

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