Measurement, NAP_70037

Question

In the figure below, square ABCD has area 25 cm2^2 square CEFG has area 49 cm2^2 and square GHDI has area 16 cm2^2. What is the area triangle DCI?

Worked Solution
Area DCI = 12 ×\dfrac{1}{2}\ \times DI ×\times CI
= 12 ×\dfrac{1}{2}\ \times DI ×\times (CG - GI)

CG = 49=7\sqrt{49} = 7 cm

IG = 16=4\sqrt{16} = 4 cm

DI = 16=4\sqrt{16} = 4 cm
∴\therefore Area DCI = 12 ×\dfrac{1}{2}\ \times 4 ×\times (7 - 4)
= 12 ×\dfrac{1}{2}\ \times 4 ×\times 3
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

694

Question

In the figure below, square ABCD has area 25 cm2^2 square CEFG has area 49 cm2^2 and square GHDI has area 16 cm2^2. What is the area triangle DCI?

Worked Solution
Area DCI = 12 ×\dfrac{1}{2}\ \times DI ×\times CI
= 12 ×\dfrac{1}{2}\ \times DI ×\times (CG - GI)

CG = 49=7\sqrt{49} = 7 cm

IG = 16=4\sqrt{16} = 4 cm

DI = 16=4\sqrt{16} = 4 cm
∴\therefore Area DCI = 12 ×\dfrac{1}{2}\ \times 4 ×\times (7 - 4)
= 12 ×\dfrac{1}{2}\ \times 4 ×\times 3
= 6 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
6 cm$^2$

Answers

Is Correct?Answer
✓

6 cm2^2

x

9.5 cm2^2

x

12 cm2^2

x

15 cm2^2

Tags

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