Question

A rectangular park as dimensions 90 m by 70m. Two

paths run parallel to the lengths of the rectangle and two

paths run parallel to its breadths. Two paths along the

length are 7 m wide and the other two along the breadth

are 5m wide. Find the area of

a. i)all the paths ii) the remaining portion of the park.​

Answer 1

Answer:

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Step-by-step explanation:

AREA OF THE TWO PATHS ALONG THE LENGTH =

$\sf {\: 2 \times (90m \times 7m) = {1260m}^{2} }$

AREA OF THE TWO PATHS ALONG THE BREADTH =

[tex}{\: 2 \times (70m \times 5m) = {700m}^{2} [/tex]

AREA OF THE TWO PATHS CROSSING EACH OTHER =

$\sf {\: 4 \times (7m \times 5m) = {140m}^{2}}$

THEREFORE ,THE TOTAL AREA OF THE PATH =

$\sf {\: 1260 + 700 - 140) {m}^{2}=1820{m}^{2}}$

AREA OF THE PATH =

$\sf {\: 90m \times 70m = {6300m}^{2}}$

THEREFORE,AREA OF REMAINING PORTION =

$\sf {\: (6300 - 1820) {m}^{2} = {4480m}^{2}}$

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