Question

A picture 17 cm by 11 cm is framed on a piece of cardboard 20 cm by 15 cm. What area of the cardboard can be seen?

Answer 1

Given

A picture 17 cm by 11 cm is framed on a piece of cardboard 20 cm by 15 cm.

To find the area of the cardboard to be seen.

Step-by-step explanation:

It is given that,

The length of the picture is 17cm, and its breadth is 11cm.

The length of the carboard is 20cm and its breadth is 15cm.

Then,

\begin{equation*} Area\text{ }of\text{ }the\text{ }cardboard\text{ }to\text{ }be\text{ }seen=Area\text{ of the cardboard}- \end{equation*}\begin{equation*} Area\text{ of the picture} \end{equation*}

`\begin{gathered} Area\text{ }of\text{ }the\text{ }cardboard\text{ }to\text{ }be\text{ }seen=Area\text{ of the cardboard}- \\ Area\text{ of the picture} \\ =20*15-17*11 \\ =300-187 \\ =113cm^2 \end{gathered}`

Hence, the area of the cardboard to be seen is 113cm^2.