Sarin learns Perimeter, Area and Volume in school part 7(Math Question)

Standard

You can read posting Sarin learns Perimeter, Area and Volume in school(Math Concept) to learn the concept of perimeter, area and volume.

Upper primary school mathematics question UPQ92

 

The diagram below shows a rectangle PRSU, which is made up of square PQTU and rectangle QRST. Figure D, E and F are squares and the area of square F is 1m2. The area of square D is 2/3 of the shaded area in rectangle QRST and QA = AT as shown in the figure below.

 

 

Solution:

 

                                    The area of square E = 3 × 3 = 9m2

                                    The area of square F = 1m ==> Length of square F = 1m

                                    Length of QA = length of AT

                                    Length QT = 1 + 3 + 4 = 8m

                                    The area of the square D = 4 × 4 = 16m2

                 Given the area of square D is 2/3 of the shaded area in rectangle QRST

                 The area of triangle QTS = the area of triangle QRS = 3/2 × 16 = 24m2

                                    The shaded area in Square PQTU = 9 + 16 = 25m2

                                    The area of the square PQTU = 8 × 8 = 64m2

                                    The unshaded area = 64 – 25 + 24 = 63m2

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s