(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?
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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
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