Measurement, NAP_70035

Question

In the figure below, square ABCD has area 100 cm2^2 square EFGB has area 36 cm2^2 and square FHIC has area 196 cm2^2. What is the area triangle BEC?

Worked Solution
Area BEC = 12 ×\dfrac{1}{2}\ \times EB ×\times EC
= 12 ×\dfrac{1}{2}\ \times EB ×\times (FC - EF)

EB = 36=6\sqrt{36} = 6 cm

EF = 36=6\sqrt{36} = 6 cm

FC = 196=14\sqrt{196} = 14 cm
∴\therefore Area AGF = 12 ×\dfrac{1}{2}\ \times 6 ×\times (14 - 6)
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

690

Question

In the figure below, square ABCD has area 100 cm2^2 square EFGB has area 36 cm2^2 and square FHIC has area 196 cm2^2. What is the area triangle BEC?

Worked Solution
Area BEC = 12 ×\dfrac{1}{2}\ \times EB ×\times EC
= 12 ×\dfrac{1}{2}\ \times EB ×\times (FC - EF)

EB = 36=6\sqrt{36} = 6 cm

EF = 36=6\sqrt{36} = 6 cm

FC = 196=14\sqrt{196} = 14 cm
∴\therefore Area AGF = 12 ×\dfrac{1}{2}\ \times 6 ×\times (14 - 6)
= 24 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
24 cm$^2$

Answers

Is Correct?Answer
x

30 cm2^2

✓

24 cm2^2

x

36 cm2^2

x

48 cm2^2

Tags

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