the length of a rectangular playground is 2 meter longerbthan its breadth. if the area of the playground is 195 square meters, find the length and breadth of the field
Answers
Answer:
Give. that
Area of rectangular playground = 195 m²
To Find
Length ?
breadth?
Solution :
let breadth of the rectangular playground=b
length of the rectangular playground=(b+2)
Area of rectangular playground= L×B
195 = (b+2)×b
195= b² + 2b
b²+ 2b - 195 =0
b²+ 15b - 13b - 195 =0
b(b+15) - 13(b+15)= 0
(b-13)(b+15)=0
b=13 or b= - 15
Value b of can't be negative. So b=13
Therefore, breadth of the rectangular playground =13 m
and length of the rectangular playground =15 m
Step-by-step explanation:
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Answer:
Area of the rectangular playground =195 m
Area of the rectangular playground =195 m 2
Area of the rectangular playground =195 m 2 .
Area of the rectangular playground =195 m 2 .To find:
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2)
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b 2
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b 2 +2b
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b 2 +2b⇒b
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b 2 +2b⇒b 2
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b 2 +2b⇒b 2 +2b−195=0
Area of the rectangular playground =195 m 2 .To find:Length =?, Breadth =?Solution:Let breadth of the rectangular playground =b Length of the rectangular playground =(b+2) Area of rectangular playground = Length × Breadth⇒195=(b+2)×b⇒195=b 2 +2b⇒b 2 +2b−195=0⇒b
2
+15b−13b−195=0
+15b−13b−195=0⇒b(b+15)−13(b+15)=0
+15b−13b−195=0⇒b(b+15)−13(b+15)=0⇒(b−13)(b+15)=0
+15b−13b−195=0⇒b(b+15)−13(b+15)=0⇒(b−13)(b+15)=0⇒b=13 or b=−15
+15b−13b−195=0⇒b(b+15)−13(b+15)=0⇒(b−13)(b+15)=0⇒b=13 or b=−15Value b of can't be negative. So b=13
+15b−13b−195=0⇒b(b+15)−13(b+15)=0⇒(b−13)(b+15)=0⇒b=13 or b=−15Value b of can't be negative. So b=13Therefore, breadth of the rectangular playground =13 m
+15b−13b−195=0⇒b(b+15)−13(b+15)=0⇒(b−13)(b+15)=0⇒b=13 or b=−15Value b of can't be negative. So b=13Therefore, breadth of the rectangular playground =13 mand length of the rectangular playground =15 m
Step-by-step explanation:
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