vwxy-is-a-rectangle-with-length-20cm-and-width-12cm. - GCSE Solutions - Central collection of solutions to all the Mathematics GCSE problems in the book, exams and past papers

VWXY is a rectangle with length 20cm and width 12cm.

Unit 4.4 Percentages

The problem

VWXY is a rectangle with length 20cm and width 12cm.The length of the rectangle is increased by 30%. The width of the rectangle is increased by 10%. Find the percentage increase in the area of the rectangle.

The solution

=> Area of the original rectangle = 20cm x 12cm = 240cm square.

=> Length ( 20cm) increased by 30% ( 100+30= 130% = 1.3)

=> 20 x 1.3 = 26cm

Width ( 12cm) increased by 10% ( 100+10=110% =1.1)

=> 12 x 1.1 = 13.2

Area of the new rectangle = 26cm x 13.2cm = 343.2 cm square.

$P e r c e n t a g e i n c r e a s e = \frac{A c t u a l c h a n g e}{O r i g i n a l} x 100$

Actual change = 343.2 - 240 = 103.2

$P e r c e n t a g e i n c r e a s e = \frac{103.2}{240} x 100 = 43 %$

Answer is 43%

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