Q110 of 113 Page 110

For what value of x is perimeter of shape 77 cm?

Divide the give fig. into two

Perimeter of first shape = 2a + 2b


= 2(x + 2) + 2(2x + 2)


Perimeter of second shape = 2a + b


= 2(x + 1) + (2x + 2)


Total perimeter = 77 cm


2(x + 2) + 2(2x + 2) + 2(x + 1) + (2x + 2) = 77


2x + 4 + 4x + 4 + 2x + 2 + 2x + 2 = 77


10x + 12 = 77


10x = 77-12


10x = 65


x = 65/10 = 6.5cm


More from this chapter

All 113 →
108

Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.

 109

A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?

 111

For what value of x is perimeter of shape 186 cm?

 112

On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200. B’s share is?