Question 1 0Ratio of area of - MNO to the area of parallelogram MNOP in the given figure-a 2- 3b 1- 1c 1- 2d 2- 1

Name: EXEMP - Grade 07 - Mathematics - Perimeter & Area - Q10
Uploaded: 2022-07-04T10:36:42+05:30
Description: Area of Δ MNO : Area of parallelogram MNOP = 1/2× Base × Height : Base × Corresponding Height = 1/2× NO × OQ : MP × OQ = 1/2× NO : NO ...

Area of Δ MNO : Area of parallelogram MNOP = 1/2× Base × Height : Base × Corresponding Height = 1/2× NO × OQ : MP × OQ = 1/2× NO : NO ...

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Standard VIII

Mathematics

Elements of a Parallelogram

Question 1 0R...

Question

Question 10

Ratio of area of $Δ M N O$ to the area of parallelogram MNOP in the given figure.

(a) 2 : 3
(b) 1 :1
(c) 1 : 2
(d) 2 : 1

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Solution

Area of $Δ M N O$ : Area of parallelogram MNOP
$= \frac{1}{2} \times B a s e \times H e i g h t : B a s e \times C o r r e s p o n d i n g H e i g h t$
$= \frac{1}{2} \times N O \times O Q : M P \times O Q = \frac{1}{2} \times N O : N O$ $[∵ N O = M P]$
$= 1 : 2$
Hence, the required ratio is 1 : 2.

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Q. Question 11

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Elements of a Parallelogram

Standard VIII Mathematics

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Question 10 Ratio of area of ΔMNO to the area of parallelogram MNOP in the given figure. (a) 2 : 3 (b) 1 :1 (c) 1 : 2 (d) 2 : 1

Area of ΔMNO : Area of parallelogram MNOP =12×Base×Height:Base×Corresponding Height =12×NO×OQ:MP×OQ=12×NO:NO [∵NO=MP] =1:2 Hence, the required ratio is 1 : 2.

Question 10

Ratio of area of $Δ M N O$ to the area of parallelogram MNOP in the given figure.

(a) 2 : 3
(b) 1 :1
(c) 1 : 2
(d) 2 : 1