Download App

Mensuration — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSMensuration1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer in the following:
The area of a rectangular carpet is $120m^2$ and its perimeter is $46m$. The length of its diagonal is:
  • A
    $15m$
  • B
    $16m$
  • ✓
    $17m$
  • D
    $20m$ Hint: $l + b = 23$ and $lb = 120$ Diagonal $=\sqrt{\text{l}^2+\text{b}^2}=\sqrt{289}$ $=\sqrt{17\times17}=17$
✓

Answer

Correct option: C.
$17m$
Area of rectangular carpet $= 120\ cm^2$
Perimeter $= 46m$
Now $2(l + b)$
$= 46m$
$\Rightarrow \text{l}+\text{b}=\frac{46}{2}=23$
and $lb = 120$
$\therefore (\text{l}-\text{b})^2=(\text{l}+\text{b})^2-4\text{lb}$
$=(23)^2-4\times120$
$=529-480$
$=49=(7)^2$
$\therefore \text{l}-\text{b}=7$
and $l + b = 23$
Adding we get, $2l = 30$
$\Rightarrow \text{l}=\frac{30}{2}$
$=15$
$\therefore b = 23 - 15 = 8$
Now diagonal $=\sqrt{\text{l}^2+\text{b}^2}$
$=\sqrt{(15)^2+(8)^2}$
$=\sqrt{225+64}$
$=\sqrt{289}$
$=17\text{m}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q. [1 Marks Each]" from Mensuration→Mensuration — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

Which of the following statements, is false?
→
Which of the following is the correct order?
→
Form a three digits even number using the digits $7, 6, 9.$
→
Mark $(\checkmark)$ against the correct answer in the following:The $LCM$ of two co-prime numbers is their:
→
Mark the correct aftemative of the following:
If $\Delta$ is an operation on integers such that $\text{a }\Delta\text{ b}=\text{a}-\text{b}-2$, for all integers $a, b$. Then, $7\ \Delta\ (-4)=$
→
If the cost of $5$ bars of a soap is $Rs. 30$, then the cost of one dozen bars is:
→
$\frac{1}{2}$ of $20\ km = .............m$
→
If an integer $a$ is greater 7 , then $|7-a|=$
→
Which of the following is an improper fraction?
→
Mark $(\checkmark)$ against the correct answer in the following:
$1$ Lakh $=$ ___________ thousands.
→