Question

6. The length of a rectangle exceeds its breadth by 4 cm. if the length and breadth are increased by 3 cm
each, the area of the new rectangle will be 81 sq. cm more than that of the given rectangle. Find the
length and breadth of the given rectangle.
7. Solve: 4 (3p + 2) - 5 (p-1) = 2 (P-8)-6 (7p-4).
8. Raja's toy bank is full of one rupee and fifty paise coins. It contains three times as many fifty paise coins
as one rupee coins. The total amount of money in the toy bank is rs.35. How many coins of each kind
are there in the toy bank?
9. The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?
10. The measure of the angles of a pentagon are (x - 5), (x - 6°. (2x - 7)º, x° and (2x - 2)°. Find the value of
X.
11. The ratio of two sides of a parallelogram is 3:5 and its perimeter is 80 cm. Find the sides of the
parallelogram.
12. SKIN is a rectangle. Its diagonals meet at O. if OS = 3x +8 and OK = 5x + 2, then find x.​

Answer 1

Answer:

length of rect.=x

breadth of rect.=x-4

if both increased by 3

then,length=x+3

breadth=x-1

area of rect before=(x)(x-4)

area of rect after=(x+3)(x-1)

or 81 +(x)(x-4)

so.x^2-x+3x-3=81+x^2-4x

6x=84

x=14.

7.12p+8-5p+5=

2p-18-42p+24

47p+55=0

p=-55/47.