Question

Kate had a square piece of paper of side 50cm.She cut out as many rectangles as possible from it. each rectangle must be measuring 5cm by 3cm.How many rectangles did she cut out?

Answer 1

Answer:

• Kate can cut out 166 pieces of rectangle measuring 5 cm by 3 cm from a square piece with side measuring 50 cm.

Step-by-step explanation:

Given that:

• Kate had a square piece of paper with side measuring 50 cm.
• She cut out as many rectangles as possible from it.
• Each rectangle measures 5 cm by 3 cm.

To Find:

• How many rectangles did she cut out?

Solution:

As we know that,

• Area of a square = (side)²

Substituting the values,

Area of the square piece = 50²

= 50 × 50

= 2500

Hence, area of the square piece is 2500 cm².

Now,

As we know that,

• Area of a rectangle = length × breadth

Substituting the values,

Area of each rectangle cut out = 5 × 3

= 15

Hence, area of each rectangle cut out is 15 cm².

Finding no. of pieces of rectangle cut out:

No. of pieces of rectangle cut out is :

$\sf{\longrightarrow\dfrac{Area\;of\;the\;square\;piece}{Area\;of\;each\;rectangle}}$

Substituting the values,

$\sf{\longrightarrow\dfrac{2500}{15}}$

Reducing the numbers,

$\sf{\longrightarrow\dfrac{500}{3}}$

Dividing the numbers,

$\sf{\longrightarrow166.6}$

Hence, Kate can cut out 166 rectangles and some paper will be left.