Exam Maths Puzzle Area and Volume

A poster has dimensions that are 25 cm by 30 cm is surrounded by a border of uniform width. If the area of the border is 174 cm^2, find the outside perimeter of the border.

Read Solution (Total 1)

122 cm

Let width of border be 'x'

Area of border = 174
(25+x)(30+x) - 25*30 = 174
x^2 + 55x - 174 = 0
Solving x = 3cm

Outside perimeter = 2*(l+b)
=2*(33+28)
= 122 cm
10 years agoHelpfull: Yes(0) No(0)

Exam Other Question

Please graph A (2,-2), B (2,-1), C (2,0) D (2,1) E (2,2) F(1,2) G (0,2) H (-1,2) I (-2,2) J (-2,1) K(-2,0) L (-2,-1) M (-2,-2) N (-1,-2) O (0,0) P (0,-2) Q (1,-2) Line j = ME Use this figure to complete each statement

5. S:(x,y) -> (-x,-y), S:F -> ____.

6. T:(x,y) -> (x + 2, y-1). T:L -> _____.

7. Ry:J -> ____.

8. Rx:B -> ____.

9. Rj:Q -> ____>

10. Cursive Ro 90:C -> ____.

11. Cursive Ro 180:N -> _____.

12. Ho:K -> ____.

13. Hc:B -> ____.

Thank you Please reply One dimension of a square is increased by 10 meters and the other dimension is increased by 5 meters. The area of the new rectangle is three times that of the original square. How long was one side of the square?