Question

Find the area of a rectangular plot, one side which measures 70 m and the diagonal is 74 m.
Step by step Explanation. Answer fast . I will mark u the brainliest.​

Answer 1

Length (l)=70m

Diagonal (d)=74m

Let, breadth be b.

Using Pythagoras Theorem,

${d}^{2} = {l}^{2} + {b}^{2} \\ = > {(74m)}^{2} = {(70m)}^{2} + {b}^{2} \\ = > 5476 {m}^{2} = 4900 {m}^{2} + {b}^{2} \\ = > {b}^{2} = 5476 {m}^{2} - 4900 {m}^{2} \\ = > {b}^{2} = 576 {m}^{2} \\ = > b = \sqrt{576 {m}^{2} } \\ = > b = 24m$

Therefore, area of the rectangular plot (A)=

$l \times b \\ = 70m \times 24m \\ = 1680 {m}^{2}$