Question

1. A rectangular sheet of paper is
$5 \frac{2}{3} cm$
long and
$3 \frac{1}{5} cm$
wide. Find its perimeter.

2. The recipe requires
$3 \frac{1}{4}$
cups of flour. Radha has
$1 \frac{3}{8}$
cups of flour. How many more cups of flour does she need?​

Answer 1

1st Answer

Given that,

Length of the sheet is 5⅔ cm.

Breadth of the sheet is 3⅕ cm.

We are asked to find the perimetre of this sheet using these dimensions. We can see that we are given with the measurement of two of the sides. So, it's a rectangular sheet.

Perimeter of the sheet :

$\sf \dashrightarrow {Perimetre}_{(Rectangle)} = 2 \: (Length + Breadth)$

$\sf \dashrightarrow 2 \: \bigg( 5 \dfrac{2}{3} + 3 \dfrac{1}{5} \bigg)$

$\sf \dashrightarrow 2 \: \bigg( \dfrac{17}{3} + \dfrac{16}{5} \bigg)$

$\sf \dashrightarrow 2 \: \bigg( \dfrac{85 + 48}{15} \bigg)$

$\sf \dashrightarrow 2 \: \bigg( \dfrac{133}{15} \bigg)$

$\sf \dashrightarrow \dfrac{2 \times 133}{15} = \dfrac{266}{15}$

Hence, the Perimetre of the rectangular sheet is 266/15 cm.

2nd Answer

Given that,

Radha has 1⅜ cups of flour with her.

The recipe that is to be done by her needs 3¼ cups of flour.

We are asked to find the extra amount of flour that she needs to make the recipe.

Let the extra amount if flour needed be x.

Extra cups of flour required :

According to the question,

$\sf \dashrightarrow 1 \dfrac{3}{8} + x = 3 \dfrac{1}{4}$

$\sf \dashrightarrow \dfrac{11}{8} + x = \dfrac{13}{4}$

$\sf \dashrightarrow x = \dfrac{13}{4} - \dfrac{11}{8}$

$\sf \dashrightarrow x = \dfrac{26 - 11}{8}$

$\sf \dashrightarrow x = \dfrac{15}{8}$

$\sf \dashrightarrow x = 1 \dfrac{7}{8}$

Hence, Radha needs extra 1⅞ cups of flour to prepare the recipe.