G.
Answer the following:
a) A rectangle ABCD where AB= 12cm and AC= 27cm. Find the area of
i) Rectangle ABCD
ii) Triangle ABC
Answers
Answered by
1
Area Of Rectangle ABCD is 290 cm²
Area Of Triangle ABC is 145.08 cm²
Step-by-step explanation:
GIVEN
AB = 12 cm
AC = 27 cm
___________________________
TO FIND
Area Of Rectangle ABCD
Area Of Rectangle Triangle ABC
___________________________
Area Of Rectangle ABCD
We know that,
Diagonal Of Rectangle = √ ( Length² + Breadth² )
27 = √ ( Length² + 12² )
Length = √ ( 27² - 12² )
Length = √ ( 729 - 144 )
Length = √ 585
Length = 24.18
Length = 24.18 cm
We know that,
Area Of Rectangle = Length × Breadth
Area Of Rectangle = 24.18 × 12
Area Of Rectangle = 290
Area Of Rectangle = 290 cm²
Area Of Rectangle ABCD is 290 cm²
___________________________
Area Of Triangle ABC
We know that,
Area Of Triangle = ½ × Base × Height
Here,
Base = BC = 24.18 cm
Height = AB = 12 cm
Area Of Triangle = ½ × Base × Height
Area Of Triangle = ½ × 24.18 × 12
Area Of Triangle = ½ × 24.18 × 12
Area Of Triangle = ½ × 290.16
Area Of Triangle = 145.08
Area Of Triangle = 145.08 cm²
Area Of Triangle ABC is 145.08 cm²
Attachments:
Similar questions