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

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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