(Q1) Find the area of a square PQRS formed by joining the mid point of sides of another square ABCD of side 9 under root 2 cm.
(Q2)Find the area of the rhombus if the length of each side be 7cm and the corresponding altitude be 8cm.
(Q3) A rectangle grassy plot is fifty six m and 39m broad. It has a gravel path 2.five m wide all around it along its side. Find the area of the path and the cost of construction it at 4,five0 per square metre.
(Q4) A parallelogram has an area of sixty3 cm*2 and abase is equal to 9cm. What is the corresponding height of the parallelogram?
(Q2)Find the area of the rhombus if the length of each side be 7cm and the corresponding altitude be 8cm.
(Q3) A rectangle grassy plot is fifty six m and 39m broad. It has a gravel path 2.five m wide all around it along its side. Find the area of the path and the cost of construction it at 4,five0 per square metre.
(Q4) A parallelogram has an area of sixty3 cm*2 and abase is equal to 9cm. What is the corresponding height of the parallelogram?
Answers & Comments
Answer:
1.The square ABCD has sides 9 √2 cm. PQRS is formed by joining the mid points of sides of ABCD. Area (PQRS) = a² = 9² = 81 cm².
2.area of rhombus.base ×height
7×8=56
3.Length of plot =56m
Breadth of plot =39m
Area =l×b
=56m×39m
=2184m
2
→ In rectangle ABCD
Length =56m+2.5m+2.5m
=61m
Breadth =39m+2.5m+2.5m
=44m
Area =l×b
=61m×44m
=2684m
2
→ Area of path = Area of ABCD− Area of plot
=2684m
2
−2184m
2
=500m
2
→ Cost of constructing =24.50 per square m.
=500m
2
×24.50
=22250 Ans.
4.h.a÷b