Question

Two squares of area 64 cm2 and 36 cm2 are cut off from a larger square sheet as shown below:


What is the PERIMETER of the remaining part of the sheet?
A 32 cm B 42 cm C 44 cm D 96 cm

Answer 1

Answer:

44 cm  

Step-by-step explanation:

Answer 2

Given,

Area of two squares which are cut off from the large square respectively 64cm² and 36 cm².

To Find,

The perimeter of the remaining part of the sheet.

Solution,

We have two values of area which are 64 and 36 cm².

So we can find out the length of the side of each small square by taking root of each area.

As a result the value will be,

√64cm²=8cm,

√36cm²=6cm

From these two value now we can find out the side of larger square by just adding the value of side of small square.

So,8cm+6cm=14cm

Now we have length of the large square and from using three values we can calculate the required perimeter,

So the remaining part of the sheet has 6 sides and we can get our answer by adding all these

So, we have the whole length of the square=14cm

Side of big square which is cut off from large square=8cm

Side of small one=6cm

Then the perimeter= 14cm + 6cm+8cm+2cm(from figure,8cm-6cm)+6cm+8cm=44cm

Hence, the perimeter of the remaining part of the sheet is 44cm(option C).